A Big Family

A family has fifteen children. These children were born at intervals of one-and-a-half years. Alice, the oldest child, says that she is eight times as old as Belinda, the youngest child. How old is Alice?

Scroll down for a clue and further down for the answer.

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Clue: You need to create two equations that explain all of the information in the question.

Scroll down for the answer.

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Answer: Alice is 24 years old.

We can solve this puzzle using algebra.

a = 8b

and

a = b + (14 x 1.5) which is a = b + 21

Combining these two equations, we get:

8b = b + 21

7b = 21

b = 3

Placing this into a = 8b, we get a = 24.

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