Question

The sum of a two digits number and the number obtained by reversing the order of the digits is $121$. If digits in unit's and ten's place are ${}^{\prime }{x}^{\prime }$ and ${}^{\prime }{y}^{\prime }$ respectively, then write the linear equation representing the above statement

Answer 1

The number is $10y+x$.

Number obtained by reversing the digits $=10x+y$

Now according to the question-

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

$11x+11y=121$

$\Rightarrow x+y=\frac{121}{11}=11$

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