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A family has a man, his wife, their four sons and their wives. The family of every son also has three sons and one daughter. Find out the total number of male members in the whole family.

Question

A family has a man, his wife, their four sons and their wives. The family of every son also has three sons and one daughter. Find out the total number of male members in the whole family.

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Solution

Let's break down the problem:

  1. The first generation of the family includes the man and his wife. So, there is 1 male in this generation.

  2. The second generation includes their four sons and their wives. So, there are 4 males in this generation.

  3. The third generation includes the children of the four sons. Each son has three sons and one daughter. So, each son contributes 3 males to the third generation. Since there are 4 sons, the total number of males in the third generation is 4 sons * 3 males/son = 12 males.

Adding up the males from all generations, we get 1 male (from the first generation) + 4 males (from the second generation) + 12 males (from the third generation) = 17 males in total in the whole family.

This problem has been solved

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