Question

The digit in the units place of a $2$ digit number is $4$ times the digit in the tens place. The number obtained by reversing the digits exceeds the given number by $54$. Find the given number.

• A. $28$
• B. $32$
• C. $15$
• D. $25$

Answer 1

The correct option is A $28$

Let one's digit be $4x$. Then, ten's digit $=x$.
Number $=10x+4x=14x$ ....(1)

Number obtained by reversing the digits $=40x+x=41x$
According to the given condition,
$41x-14x=54$
$27x=54$

$x=2$
Putting the value of $x$ in (1) , we get

Number $=14\times 2=28$

Hence, $28$ is the required number.