The difference between a two-digit number and the number obtained by interchanging the two digits is 63. Which is the smaller of the two numbers ?

The difference between a two-digit number and the number obtained by interchanging the two digits is 63. Which is the smaller of the two numbers ?

A 12

B 15

C 17

D none of these answers can be determined

Solution

Correct Answer: Option D

Let the ten's digit be x and unit's digit be y.

Then, (10x + y) - (10y + x) = 63

=> 9 (x - y) = 63

=> x - y = 7.

Thus, none of the numbers can be deermined..