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?

Question:
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

Answer: Option D

Explanation:

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.