Four distinct positive integers—A, B, C, and D—are listed in strictly increasing order (A < B < C < D). Their product (A × B × C × D) is 120 and their sum (A + B + C + D) is 14. What are the four numbers?
2, 3, 4, and 5
The prime factorization of 120 is 2^3 × 3 × 5. The four distinct integers 2, 3, 4, and 5 multiply to 120 (2 × 3 × 4 × 5 = 120) and add to 14 (2 + 3 + 4 + 5 = 14).
About this riddle
Logic riddles give you a few facts and ask what must be true. List what you know, cross out what cannot be, and see what is left.
Difficulty: Medium. More like this: Logic riddles with answers or try Einstein's Logic Grid for a different kind of puzzle.
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