Question

Sum of digit of a two digit number is 15. if the number formed by reversing the digits is less than the original number by 27, find the original number. check your solution.

Answer 1

Let the number with two digits be 10x + y.
Sum of the digits is 15.
⇒ x + y = 15 ----------------- (1)
Number formed by reversing the digits = (10y + x)

(10x + y) - (10y + x) = 27
⇒ 9x - 9y = 27
⇒ x - y = 3 ----------------- (2)
Solving equations (1) and (2), we get x = 9 and y = 6.

Therefore, the original number is 10(9) + 6 = 96.