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Problems on Numbers - General Aptitude

Q1:

The sum of the digits of a two-digit number is 15 and the difference between the digits is 3. What is the two-digit number?

A 69

B 78

C 96

D Cannot be determined

E None of these

ANS:D - Cannot be determined

Let the ten's digit be x and unit's digit be y. Then, x + y = 15 and x - y = 3   or   y - x = 3. Solving x + y = 15   and   x - y = 3, we get: x = 9, y = 6. Solving x + y = 15   and   y - x = 3, we get: x = 6, y = 9. So, the number is either 96 or 69. Hence, the number cannot be determined.