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

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

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Hope This Helps!

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Answer:

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Step-by-step explanation:

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Answer:

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Answers

Answer:

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A line passes through the points (7, 10) and (7, 20). Which statement is true about the line?
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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

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Answer:

D

Step-by-step explanation:

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Answers

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Highlands
The dot plots show rainfall totals for several spring
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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
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Answers

Answer:

30

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Step-by-step explanation:

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:


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Answers

Answer: 108

Step-by-step explanation:

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Step-by-step explanation:

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

Answer:

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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%.

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Answer:

y=x+6

Step-by-step explanation:

Why does the author of this
historical fiction story include the
detail that Bass Reeves couldn't
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It shows that Reeves could creatively
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It shows that Reeves had no time for
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It shows that Reeves faced dangerous situations because of his job.

It shows that Reeves preferred to work
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Answer:

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

Step-by-step explanation:

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

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1 hour of mowing=$7.10

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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.

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Love could be great, Love could be bad.

Step-by-step explanation:

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Answers

Answer:

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

Step-by-step explanation:

Sabrina uses 2 oz of clay to make the
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Answers

Answer:

4 because everything is multiplied by 2

Step-by-step explanation:

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Answers

Answer:

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Answers

Answer:

a. 6 1/2

Step-by-step explanation:

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

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

Which point on the coordinate plane is closest to ______ ?

Answers

Answer:

its point D hope this helps :)

The correct answer is D.

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Write an algebraic expression for the statement.
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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;

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

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brainly.com/question/19876186

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Answers

Answer:

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Answers

The question is incomplete, the complete question is;

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

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Answers

Answer:

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Answers

Answer:

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Step-by-step explanation:

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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].

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Answers

Answer:

Step-by-step explanation:

X<2

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:

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Answers

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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.

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 !

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