Seven persons J, K, L, M, N, O, and P are in a family. They were born in 1960, 1970, 1981, 1983, 1986, 1996, and 2007, not necessarily in the same order. The sum of the ages of L and O is 79. The age gap between O and M is the same as the age gap between L and K. The age of O is greater than M. The sum of the ages of J and N is double the age of P. The age of M is an even number. The age of J is not less than N. Note: The base year is 2023 for calculating the ages of all the family members. What is the age of P?

Correct answer: 16

Solution

Using base year 2023, the ages are 63, 53, 42, 40, 37, 27, and 16. Since L + O = 79, the only possible pair is 42 and 37. Applying the remaining conditions fixes the assignments and gives P = 16.

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