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grandmother’s age
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Q. A grandmother’s age is in between 50-70 year. She had some son, each son had as many son as he had brothers.Grandmother’s age was as many grandson in family. Find the grandmother’s age?
A)52 B)55 C) 56 D)59
Let grandmother has x sons
so each son has x-1 brothers and hence x-1 grandsons.
so total number of grandsons = x(x-1)
also since grandmother’s age is in between 50-60 .
so 50< x(x-1) <60 which is satisfied by x=8 and no other natural number
Hence grandmother’s age = 8×7 = 56
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