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......

..

## Comments

Sort by:

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, 6 months ago

Log in to reply

– Sharath Chandar · 3 years, 6 months ago

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

64 and 57 – Minmoy Kumar Kundu · 3 years, 6 months ago

Log in to reply

the man is 64 years old and has 56 grandsons – Saleem Saif · 3 years, 6 months ago

Log in to reply

– Sharath Chandar · 3 years, 6 months ago

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

– Unnati Bindal · 3 years, 6 months ago

please solve the problemLog in to reply