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. Find the linear equation governing x and y.

x + y = 12

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x + y = 11

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x - y = 11

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x - y = 11

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Solution

The correct option is B x + y = 11
The correct option is (c).
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.

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