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Question
The mean age of A and B is 14 years, the mean age of B and C is 17 years and the mean age of A and C is 15 years. Find the ages of A, B and C.
Sum
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Solution
Mean of A and B = `("A + B")/2` = 14
A + B = 28
Mean of B and C = `("B + C")/2` = 17
B + C = 34
Mean of A and C = `("A + C")/2` = 15
A + C = 30
Adding, 2(A + B + C) = 92
A + B + C = 46
C = 46 − 28 = 18
A = 46 − 34 = 12
B = 46 − 30 = 16
The ages of A, B, and C are 12 years, 16 years, and 18 years.
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