Question

The difference between a two-digit number and the number obtained by interchanging the digits is $36$. What is the difference between the sum and the difference of the digits of the number if the ratio between the digits of the number is $1:2$ ?

• A. $8$
• B. $11$
• C. $5$
• D. $2$

Answer 1

The correct option is A $8$

Since the number is greater than the number obtained on reversing the digits, so the ten's digit is greater than the unit's digit.
Let ten's and unit's digits be $2x$ and $x$ respectively.

Then, ($10\times 2x+x$) - ($10x+2x$)$=36$

$\therefore$ $9x=36$

$\therefore$ Required difference$=(2x+x)-(2x-x)=2x=8$.