Question

The difference between a two digit number and the number obtained by the interchanging the digits is $27$. What is the difference between the two digits of the number?

• A. $9$
• B. $6$
• C. $12$
• D. $3$

Answer 1

The correct option is D $3$

Let the two digit number $=10x+y$

Number obtained by interchanging the digit is $10y+x$.

According to the problem we get,

$\Rightarrow (10x+y)-(10y+x)=27$

Simplifying the equation,

$9x-9y=27$

$x-y=3$

Hence, the difference between the two digits $=3$.