Question

Determine the Two Digit Number
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?

Answer 1

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.