A man who is aged between 50 & 70, and has a very large number of grandsons , said 'Each of my sons has as many sons as brothers, and the combined number of my sons and grandsons is exactly my age'. How old is the man and how many grandsons does have?

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## Comments

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TopNewestlet x be the age of the man

n be the number of sons

no. of brothers for each son = n-1 = no. of sons for each son

=> total no. of grandsons = n*(n-1)

sons + grandsons = age

=> n + n*(n-1) = x

x = n^2

since n is an integer, the only perfect square between 50 and 70 is 64.

=> age = 64

grandsons = 56

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Thank you very much!!!!!

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64 and 57

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the man is 64 years old and has 56 grandsons

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can u post how how u solved this problem..

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please solve the problem

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