Question

The sum of a two digit number and the number obtained by
reversing its digits is 121.Find the number if it ends with 5.
WITH PROPER STEP-BY-STEP ANSWER

Answer 1

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Maths

Linear Equations in Two Variable

Linear Equations

The sum of a two digit numb...

MATHS

The sum of a two digit number and the number obtained by reversing the order of its digits is 121. If the digits in unit's and ten's place are 'x' and 'y' respectively.

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ANSWER

Given units digit is x and tens digit is y

Hence the two digit number = 10y + x

Number obtained by reversing the digits = 10x + y

Given that sum of a two digit number and the number obtained by reversing the order of its digits is 121.

Then (10y+x)+(10x+y)=121

⇒10y+x+10x+y=121

⇒11x+11y=121

⇒x+y=11

Thus the required linear equation is x + y = 11.