The sum of the digits of a two digit number is 12. If the new number formed by reversing the digits is greater than the original number by 54, find the original number.

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GATE : General Aptitude

The sum of the digits of a two digit number is 12. If the new number formed by reversing the digits is greater than the original number by 54, find the original number.

A. 39

B. 57

C. 66

D. 93

Solution

A. 39

Explanation

Let the original number be xy

y---unit digit of

-------(1)

-------(2)
Solving (1) & (2) we get, and
So the number is 39