Math, asked by j04e, 9 months ago

A number has two digits. Where sum is 9. if 27 is added to the number, its digits get interchanged. Find the number.

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Answered by av1266108

Answer:

Primary School Science 50 points

A number has 2 digits whose sum is 9 if 27 is added to the number its digits interchanged and find the number

Ask for details Follow Report by Gggggg1 24.07.2017

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Hope my solution will help you

4.2

30 votes

THANKS

Comments Report

deepikakvvk06

Hi !

Let the digit in unit's place be y and the digit in the ten's place be x

Then the original no: would be 10x + y

given ,

x + y = 9 ----> [1]

also ,

10x +y + 27 = 10y + x

9x - 9y = -27

9(x-y) = -27

x -y = -27/9

x - y = -3 ----> [2]

Adding equations 1 and 2,

x + y = 9

x - y = -3

========

2x = 6

x = 3

x - y = -3

3 - y = -3

y = 3 + 3 = 6

==================================

The number is 10x + y

10 × 3 + 6 = 36

The no: is 36

here is the correct answer please mark me brainliest and give thanks

Answered by Anonymous

$\huge \blue{ \underline{ \mathtt{Answer}}}$

▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃

Let the digit in unit's place be y and the digit in the ten's place be x

Then the original no. would be $\large \green{ \mathtt{10x + y}}$

given ,

$\large \red{ \mathtt{x + y = 9....(1)}}$

also ,

10x +y + 27 = 10y + x

10x +y + 27 = 10y + x9x - 9y = -27

10x +y + 27 = 10y + x9x - 9y = -279(x-y) = -27

10x +y + 27 = 10y + x9x - 9y = -279(x-y) = -27x -y = -27/9

$\large \red{ \mathtt{x - y = -3....(2)}}$

Adding equations 1 and 2,

$\large \red{ \mathtt{x + y = 9}}$

$\large \red{ \mathtt{x - y = -3}}$

▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃

2x = 6

2x = 6x = 3

2x = 6x = 3x - y = -3

2x = 6x = 3x - y = -33 - y = -3

2x = 6x = 3x - y = -33 - y = -3y = 3 + 3 = 6

▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃

The number is 10x + y

10 × 3 + 6 = 36

The no: is 36

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