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?

Please give solution......

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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 – Thirupathi Thangavel · 3 years ago

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– Sharath Chandar · 3 years ago

Thank you very much!!!!!Log in to reply

64 and 57 – Minmoy Kumar Kundu · 3 years ago

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the man is 64 years old and has 56 grandsons – Saleem Saif · 3 years ago

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– Sharath Chandar · 3 years ago

can u post how how u solved this problem..Log in to reply

– Unnati Bindal · 3 years ago

please solve the problemLog in to reply