Question

The sum of digits of a two digit numbers is $11$. If the digit at ten's place is increased by $5$ and the digit at unit's place is decreased by $5,$ the digits of the number are found to be reversed. Find the original number.

• A. $83$
• B. $28$
• C. $82$
• D. $38$

Answer 1

The correct option is D $38$

Let the digits be $x$ and $y$ then:

$x+y=11$

$(x+5)=y$

$\therefore x+(x+5)=11$

$\Rightarrow 2x=11-5$

$\Rightarrow 2x=6\therefore x=3$

$Nowy=11-3=8$

Hence number is $38$