The sum of the digits of a two digit number is 11 the number got by interchanging the digits is 27 more than the original number. What is this number ?

Answers

Answer 1

Let the digit in one's place be y and digit at ten's place be x.

Given:

Sum of the digits = 11

⟶ x + y = 11

⟶ x = 11 - y -- equation (1).

And,

The number formed by reversing the digits is 27 more than the original number.

⟶ Reversed number = Original number + 27

reversed number = 10y + x.

⟶ 10y + x = 10x + y + 27

⟶ 10y + x - 10x - y = 27

⟶ 9y - 9x = 27

Substitute the value x from equation (1).

⟶ 9y - 9(11 - y) = 27

⟶ 9y - 99 + 9y = 27

⟶ 18y = 27 + 99

⟶ 18y = 126

⟶ y = 126/18

⟶ y = 7

Substitute the value of y in equation (1).

⟶ x = 11 - 7

⟶ x = 4

The number = 10(4) + 7 = 40 + 7 = 47.

∴ The required two digit number is 47.

I hope it will help you.

Regards.


Related Questions

david works mowing lawns and babysitting. He earns an hour for mowing and an hour for babysitting. How much will he earn for hour of mowing and hours of babysitting?

Answers

Step-by-step explanation:

please state the amount and the times he's supposed to work rephrase the question please

Answer:

$41.10

Step-by-step explanation:

1 hour of mowing=$7.10

5 hours of baby sitting= $6.80×5=$34

TOTAL=$7.10+$34=$41.10

1. 1 and 22 are vertical angles. If m1 =
(5x + 12) and m2 = (6x - 11), find m1.

Answers

Answer:

127 degrees

Step-by-step explanation:

can you guys help me

Answers

Answer:

Step-by-step explanation:

X<2

1/3 x + y = 4 solve for y

Answers

y=4
hope this helps :)

The simplified answer to the equation is [tex]y=-\frac{1}{3}x+4[/tex]

First, subtract [tex]\frac{1}{3}x[/tex]  on both sides.

[tex]y=-\frac{1}{3}x+4[/tex]

You have isolated [tex]y[/tex] by itself, and the equation can't be simplified further, so [tex]y=-\frac{1}{3}x+4[/tex]  is your answer.

How many gallons of water will be in the fish tank after 3 minutes? how can you explain your answer

Answers

The question is incomplete, the complete question is;

If in 0.5 min the tank gets 0.8 gallons of the water then

how many gallons will be in 1 min ?

how many gallons will be in 3 min?

and how long it takes for 40 gallons?

Answer:

1.6 gallons

4.8 gallons

25 mins

Step-by-step explanation:

This question has to do with proportion.

If it takes 0.5 mins for the tank to get 0.8 gallons

in 1 minute the tank will get 0.8 * 1/0.5 = 1.6 gallons

In 3 minutes the tank will get 3 * 1.6 gallons = 4.8 gallons

if it takes 1 min to get 1.6 gallons

it will take x mins to get 40 gallons

x = 1 * 40/1.6 = 25 mins


21st term: 3, 8, 13, 18 ?

Answers

Answer: 108

Step-by-step explanation:

The answer in my opinion is 108 correct me if I’m wrong

Sabrina uses 2 oz of clay to make the
cube shown. She wants to make a
larger cube with an edge length that is
twice as long. How many ounces of
clay does she need to make the larger
cube? Show your work.


PLEASE HELP!!

Answers

Answer:

4 because everything is multiplied by 2

Step-by-step explanation:

3.5 × 2 = 7, do the same thing to the amount of oz used to make the cube.

2 × 2 = 4, so 4 oz of clay should be enough. PLZ MARK BRAINLIEST

Kayla began a science experiment with 18 grams of an unknown solid. During the experiment, the change in the mass of the solid was – 7 grams. What was the mass of the solid at the end of the experiment? To solve the problem, Edna subtracted 18–( – 7) and came up with an answer of 25 grams. Is Edna correct? Why or why not?

Answers

Answer:

No. Enda should have added 18+ (-7) because she needed to add the initial mass and the change in mass.

Step-by-step explanation:

Find the LCM (least common multiple) of 25 and 35.

LCM =

Answers

Answer:

175

Step-by-step explanation:

Hi there !

25 = 5²

35 = 5×7

Lcm = multiply together each of the prime numbers with the highest power

Lcm(25 ; 35) = 5²×7 = 25×7 = 175

Good luck !

There are 3 batteries that go in a laser pointer if you had 100 lasers and took away the batteries of 5 lasers how much batteries do you have?

Answers

Answer:

285

Step-by-step explanation:

300-15=285

Answer:

285

Step-by-step explanation:

3 x 100 = 300

3 x 5 = 15

300 - 15 = 285

Hope This Helps!

Write an algebraic expression for the statement.
The cost of m pounds of meat when the cost per pound is $3.54.

Answers

Answer:

y=3.54m

Step-by-step explanation:

it is pretty self explanatory

An algebraic expression for the statement could be as; y = 3.54m

What is an expression?

Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

The Numbers constants, variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbol.

Thus which can also be used to indicate the logical syntax's order of operations and other features.

We need to write an algebraic expression for the statement.

Given that The cost of m pounds of meat when the cost per pound is $3.54.

Therefore, the expression could be as;

y = 3.54m

hence, An algebraic expression for the statement could be as; y = 3.54m

To know more about an expression follow;

brainly.com/question/19876186

#SPJ2

expand (2x+3) (2x-5)​

Answers

Answer:

4x^2−4x−15

Split using the sum and difference of the formula, the simplify

4x^2+16x+15

the up arrow means power of 2

so first number is 4x to the powder of 2

Look a the picture please

Answers

Answer:

a. 6 1/2

Step-by-step explanation:

If each of the teacher's students needs 1/4lbs of clay and she has 26 students, all we have to do is divide 26 by 4. 26/4=6.5

6.5 as a fraction is 6 1/2. So, the answer is a.

Have an amazing day!! Good luck on your test C:

Help asap people help with 6th grade..

Multiply. Use the greatest common factor to write each answer in the simplest form. 4/15 * 5/6

5/12 * 3/20

3/5 * 3/20

5/8 * 5/24

3 5/12 * 1 3/8


2 9/10 * 1 7/18

Answers

Answer:

1. 20/90 ----- GCF is 10 ----- 2/9

2. 15/240 ----- GCF is 15 ----- 1/16

3. 9/100 ----- GCF is 1 ----- 9/100

4. 25/192 ----- GCF is 1 ----- 25/192

5. 451/96 ----- GCF is 1 ----- 4 67/96

6. 725/180 ----- GCF is 5 ----- 4 1/36

There were 65 students in the chess club this year. The very next year the chess club increased its members by 20%. How many more students joined the club?answer are A,65.B,20,C13.D78.

Answers

Answer:

d.

Step-by-step explanation:

Because it increased and it also went up by 20%

all real numbers less than or equal to 9 and greater than or equal to 7 please hurry​

Answers

Answer:

[tex]7 \leq x \leq 9[/tex]

Step-by-step explanation:

Let [tex]x[/tex] represent the real numbers.

For the first part, all real numbers less than or equal to 9 in algebra is [tex]x \leq 9[/tex].

For the second part, all real numbers greater than or equal to 7 in algebra is [tex]x \geq 7[/tex].

To combine both inequalities, it would become [tex]7 \leq x \leq 9[/tex].

Hope this helped! If not, please let me know! <3

The real numbers are 7, 8, and 9.

We are given two statements:

All real numbers are less than or equal to 9.All real numbers are greater than or equal to 7.

We have to use these two statements, form an inequality for the real number and find the real numbers.

What is inequality?

Inequality is a relation that makes a non-equal comparison between two mathematical expressions.

There are five types of inequality:

[tex]Less~~than~ = ~ < \\Greater~~than~=~ > \\Less~~than~~or~~equal~~to~=~\le\\Greater~~than~~or~~equal~~to~=~\ge[/tex]

Let the real number be x.

Now using the two given statements we have,

[tex]x\le9\\x\ge7[/tex]

If we combine these two equations we get,

[tex]7\le x \le 9[/tex]

Thus we can say that the real numbers are 7, 8, and 9.

Learn more about inequalities of real numbers here:

https://brainly.com/question/27997176

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I need help pls!!!!!​

Answers

Answer: they aren’t

Step-by-step explanation:

The angles and lengths are not proportional so they are not similar.

Answer:

They are not similar

Explanation:

Even though they would look very similar if they were turned the same way the back of one of them is at a 90 degree angle while the other is at a more acute angle so no they are not similar.

The ratio of oak trees to maple trees in a park is 6 to 4. What percent of the trees in the park are oak trees?

Answers

Answer:

60%

Step-by-step explanation:

The problem would be 6:4 ratio. 6+4=10, and there are 6 oaks, so there's 6/10. And that converted to a percentage is 60%.

Why does the author of this
historical fiction story include the
detail that Bass Reeves couldn't
read?
It shows that Reeves could creatively
work around his disadvantages.

It shows that Reeves had no time for
reading books on his travels.

It shows that Reeves faced dangerous situations because of his job.

It shows that Reeves preferred to work
alongside other lawmen

PLEASE HELP I WILL PUT BRAINLIEST

Answers

Answer:

It’s it shows that Reece could work around his disadvantages

Step-by-step explanation:

|5x+9|=4x solve for all values of x

Answers

I think The answer is X=0.

Which point on the coordinate plane is closest to ______ ?

Answers

Answer:

its point D hope this helps :)

The correct answer is D.

I hope this helps!!

what is faster drive a car that goes 40 k per hour
or
a car that goes 15 meters per second

Answers

Answer:

40k per hour is faster

mark me as branliest plz

Is 123456789098765432172 is divisible by 18?

Answers

Answer:

123456789098765432172 is NOT divisible by 18. When it is divided out you are left with a decimal! :)

Step-by-step explanation:

At 9 pm the temperature was -2°C.
By midnight the temperature had gone down by 7 °C.
(b) Write down the temperature at midnight.​

Answers

Answer:

-9°C.

Step-by-step explanation:

Simple -2°C - 7°C.

What is the lcm of 12 & 9 pls help im in class and i dont have a clue

Answers

Answer:

36 is the lcm of this question

What is the value of x

Answers

Answer: 2x= 40 so 2x20=40

Step-by-step explanation:every triangle has to add up to 180 digrees

65+75+40=180

plz plz plz help me quick i got 10 mins

Answers

Answer:

y=x+6

Step-by-step explanation:

whats love, in words dont give as random answer

Answers

To me...I think love is sacrifice,honesty,loyalty and selflessness. Lol that might be really cheesy but that’s just me! Heh! :3

Answer:

Love is something you have to take care of figuratively.

Love is life, but love is sometimes not the thing to have sometimes

Love could be great, Love could be bad.

Step-by-step explanation:

Highlands
The dot plots show rainfall totals for several spring
storms in highland areas and lowland areas.
What is the range of rainfall for the highland storms?
4 0 8 10 12 14 16 18 20 22 24 26 28 30 32
Lowlands
What is the range of rainfall for the lowland storms?
2 4 6 8 10 12 14 16 18 20 22 24 26 28 30

Answers

Answer:

30

26

Step-by-step explanation:

A line passes through the points (7, 10) and (7, 20). Which statement is true about the line?
It has a slope of zero because x 2 minus x 1 in the formula m = StartFraction y 2 minus y 1 Over x 2 minus x 1 EndFraction is zero, and the numerator of a fraction cannot be zero.
It has a slope of zero because x 2 minus x 1 in the formula m = StartFraction y 2 minus y 1 Over x 2 minus x 1 EndFraction is zero, and the denominator of a fraction cannot be zero.
It has no slope because x 2 minus x 1 in the formula m = StartFraction y 2 minus y 1 Over x 2 minus x 1 EndFraction is zero, and the numerator of a fraction cannot be zero.
It has no slope because x 2 minus x 1 in the formula m = StartFraction y 2 minus y 1 Over x 2 minus x 1 EndFraction is zero, and the denominator of a fraction cannot be zero.

Answers

Answer: D) It has no slope because x 2 minus x 1 in the formula m = StartFraction y 2 minus y 1 Over x 2 minus x 1 EndFraction is zero, and the denominator of a fraction cannot be zero.

Step-by-step explanation:

slope is y2-y1/x2-x1

20-10/7-7

10/0

denominator can't be 0

Answer:

D

Step-by-step explanation:

cause i said so

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