The sum of a two digit number and the number obtained by reversing the order of its digits is 99. If the digits differ by 3, the number is

Calculation:

Let the 2 digits be x,y. respectively

2 digit number =10x + y

2 digit number obtained by using the digit =10y + x

∴10x + y + 10y + x = 99

⇒ 11x + 11y = 99

⇒ x + y = 9

⇒ x − y = 3

On adding :

⇒ 2x = 12

⇒ x = 6

putting x in ⟶(i)

⇒ 6 + y=9

⇒ y = 3

∴ Number =10x + y = 63, 10y + x = 36.

∴ The correct answer will be 36 or 63.