[64] Lucia is a wonderful grandmother and her age is between 50 and 70. Each of her sons have as many son

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Lucia is a wonderful grandmother and her age is between 50 and 70. Each of her sons have as many sons as they have brothers. Their combined ages give Lucias present age.what is the age?

Explanation:

The question basically states that if Lucia were to have say 10 sons, then each son would have 9 sons (Lucias grandsons - since each son has 9 brothers). So the total in this case would be 9××10 grandsons + 10 sons = 100.

Let us assume Lucia has got x sons. Now each son has (x - 1) sons. So total = x + (x - 1) x. For x = 8 we get 64 which is in between 50 and 60. ( 7 x 8 grandsons + 8 sons = 64 ).

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