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The ratio of ages of two persons A and B is 3 : 4 and that of ages of B and C is 4 : 5. If the average…

Since A : B = 3 : 4 and B : C = 4 : 5, the three ages are in the ratio 3 : 4 : 5, a total of 12 parts. An average of 40 years means a total of 120 years, so one part is 10…

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The ratio of ages of two persons A and B is 3 : 4 and that of ages of B and C is 4 : 5. If the average of all three is 40 years, what is B’s age?

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Since A : B = 3 : 4 and B : C = 4 : 5, the three ages are in the ratio 3 : 4 : 5, a total of 12 parts. An average of 40 years means a total of 120 years, so one part is 10 years and B, with 4 parts, is 40 years old. The figures 30 and 50 years are the ages of A and C, not of B.

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