Question

The sum of the digits of a2-digit number is 15. If the nub er formed by reversing the digit is less than the original number by 27 fine the original number.

Answer 1

let ones digit be y, tens digit be x

therefore the number = 10x + y

reversed number = 10y + x

ATQ:

x + y = 15

10y + x + 27 = 10x + y

=> 10x - x + y - 10y = 27

=> 9x - 9y = 27

=>x - y = 3

hence

x + y = 15

x - y = 3

=> 2x = 18

=> x = 9

hence

x + y = 15

9 + y = 15

y = 15 - 9 = 6

hence the original number = 10x + y = 10 x 9 + 6 = 96