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Unformatted text preview: 2 + 2 + 9 = 13 2 * 3 * 6 = 36 2 + 3 + 6 = 11 3 * 4 * 3 = 36 3 + 4 +3 = 10 It can be easily tell that Guiseppe is 13 years old, because when he was told the product of their ages was 36 he only had those 8 possible triplet combinations. The he was told the sum of their ages was his own age. Since we assumed he knows his own age, and even knowing that information he couldnt guess the ages, the only sum that is repeated is 13, that means it appears twice so he couldnt figure out which one was the correct triplet. Guiseppe knew the triple was either 1,6,6 or 2,2,9, but he had no way of telling which. Then hes told that the son was at least one year older than both of two daughters, leaving the triplet 1,6,6, out simply because one is not greater than 6. . So then he knew that 2,2,9 was the correct triplet, and that the son must be 9 years old and his two sisters are both 2 years old....
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- Spring '09