Question

A two digit number ab is 60% of x. The two-digit number formed by reversing the digits of ab is 60% more than x. Find x?

Explanatory Answer

10a + b = 0.6x
10b + a = 1.6x

Subtracting one from the other, we have

9b - 9a = x or x = 9 (b - a)
x should be a multiple of 9.

10a + b = , this implies that x should also be a multiple of 5.Or, x should be a multiple of 45

x should be equal to 45, ab = 27, ba = 72