A two digit number ab is 60 of x The two digit number formed by reversing the digits of ab is 60 mor...........

Quant (SSC) Percentage

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.

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Explanation:

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 = 3x/5 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
x should be equal to 45

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