Multiple choice general knowledge math & puzzles

The sum of ages of 5 children born at the intervals of 3 years each is 50 years. What is the age of the youngest child?

  1. 4

  2. 8

  3. 10

  4. 12
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A Correct answer
Explanation

Let the youngest child's age be x. The ages form an arithmetic progression: x, x+3, x+6, x+9, x+12. Their sum is 5x + (0+3+6+9+12) = 5x + 30 = 50. Solving: 5x = 20, so x = 4 years. The youngest child is 4 years old, making the ages 4, 7, 10, 13, and 16.

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