A mother is 21 years older than the child. Six years from now the mother will be five times as old as the child. Question: Where’s the father?

**Solution:**

*The mother is 21 years older than the child.M = C + 21*

*In six years from now, the mother will be five times as old as the child.M + 6 = (C + 6) x 5*

*Hence, C + 21 + 6 = (C + 6) x 5C + 27 = 5C + 30-3 = 4CC = -3/4*

*The child is -3/4 years old, that is, it’ll be born in nine months. Thus, by mathematical induction, the father is on top of the mother right now.*

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