Question

The sum of the digits of a two digit number is 15. If the number formed by reversing the digits is less than the original number by 2% .Find the original number.

Answer 1

let the no is 10x + y

x + y = 15 eq1

10y + x = 10x + y - 2/100

1000y + 100x = 1000x + 100y - 2

900x - 900y = 2

450x - 450y = 1 eq2

Multiply eq1 by 450

450x + 450y = 6750
450x - 450y = 1

900x = 6751

x = 15

put x in eq1

y = 0

no is 10x + y

10×15 + 0 = 150


Thanks