The sum of three people's ages is 45. If one is half the age of the second and the second is 15 years older than the third, what is the age of the youngest?

Category: Math · Difficulty: hard

Hint: Set up a system of equations based on the relationships.

Answer

10

Explanation

Let the ages be x (third), x + 15 (second), and 2(x + 15) (first). The system leads to x = 10.

This is a hard math riddle — a tricky one that takes a little thought. The answer is 10.

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