Logic Puzzles

Family Ages


A man and his wife had three children, John, Ben, and Mary, and the difference between their parents' ages was the same as between John and Ben and between Ben and Mary. The ages of John and Ben, multiplied together, equalled the age of the father, and the ages of Ben and Mary multiplied together equalled the age of the mother. The combined ages of the family amounted to ninety years. What was the age of each person?


The father and mother were both of the same age, thirty-six years old, and the three children were triplets of six years of age. Thus the sum of all their ages is ninety years, and all the other conditions are correctly fulfilled.

See also:
The Man And The Dog (Difficulty: 3)
The Cost Of A Suit (Difficulty: 2)
The Damaged Engine (Difficulty: 3)
Unrewarded Labor (Difficulty: 3)
A Rowing Puzzle (Difficulty: 5)
A Square Family (Difficulty: 2)
Right And Left (Difficulty: 3)
The Dispatch Rider (Difficulty: 2)

Logic Puzzles