Question

If a two-digit positive integer has its digits reversed,the resulting integer differs from the original by 27. By how much do the two digits differ?

• A. 3
• B. 4
• C. 5
• D. 6
• E. 7

Answer 1

The correct option is A 3

Let two digit number be $[xy{]}_{decimal}$= 10x$x$+$y$ then its reverse will be $[yx{]}_{decimal}$=10x$y$+$x$

Given their difference is 27 and we have to find $x-y$

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

$9x$-$9y$=27

$x-y$=3

So correct answer will be option A