Question

A number consists of two digits whose sum is $8$. If $18$ is added to the number, its digits are interchanged. The number is _________.

• A. $53$
• B. $35$
• C. $92$
• D. $63$

Answer 1

Answer: (B)

$35$

Lets say the number is $10x+y$

Here $x$ and $y$ are the digits of number

Given, $x+y=8$

Also given, $10x+y+18=10y+x$ (digits are interchanged)

$\Rightarrow 9x-9y=-18$

$\Rightarrow y-x=2$

After solving, we get

$x=3,y=5$

So, the number is $10x+y=35$.