Yesterdays question A neighbor asks the father how old his three girls are. The father answers that the product of their ages is 36 and, pointing to his car, adds that the sum of their ages equals the first two digits in his license plate number. After a short struggle with pen and paper the neighbor says he needs more information. He is then told that the oldest daughter loves strawberry ice cream. Oh, now I understand, says the neighbor, who promptly comes up with the right answer. What are the ages of the three children? Right ANSWER is 9,2,2 Look at the factorizations of 36: (36,1,1), (18,2,1), (9,4,1), (9,2,2), (6,6,1), (6,3,2), (4,3,3). All these add to distinct sums except (9+2+2) = (6+6+1) = 13. That must be the first 2 digits of the fathers license plate, else the neighbor would not have needed more information. The fact that the father has an oldest daughter means the twins age must be 2, not 6. So, the daughters are aged 9, 2, 2.
Posted on: Fri, 20 Jun 2014 12:00:00 +0000
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