Question

How many solutions, in positive integers less than 10, does the equation x + y + z = 20have?

Answer 1

Solution: 36 solutions.

Analysis: As we have a sum of three integers equal to 20 and less than 10, we know the integers have to be between 2 and 9 (1 and 0 don't apply because the sum wouldn't be equal to 20 between three integers.

According to that we would be the next solutions: