sum of a number of two digit and the number format by reversing a digit is 110 a...

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July 2022 2 22 Report

sum of a number of two digit and the number format by reversing a digit is 110 and difference of the digit is 6 find the number

SHREYAtheGenius Here is your solution

Let,
The ten's digit of original number be x

The unit's digit of the original number be y

The original number= 10x + y

The Number obtained on reversing the digits = 10y + x

A/q

Add original numbers and reverse number.

So

=>( 10x + y )+( 10y + x )=110 .

=>11x + 11y = 110

=>11( x + y ) = 110

=>x + y = 110/11

x + y = 10...............(i)

x - y = 6 ..................(ii) (given)

On adding equation (i) and (ii), we get

x + y + x - y= 10 +6

2x = 16
X=8

On putting the value of x in equation (i), we get

x + y = 10

8 + y = 10 .

Y = 10 - 8

y= 2

original number = 10x + y .
=>10 × 8 + 2 .
=>80 + 2 .
=>82

Hence,
The required number is 82 .

Hope it helps you

d7dkgfo rong answer

SmãrtyMohït

Verified answer

10x+y=(10y+x)=110 and x-y=6. then 11x+11y=110 and x-y=6. x+y=10 and x-y=6. then by solving by elimination method we will get x=8 and y=2

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