The total age of seven siblings born at three-year intervals is 84 years. What is the age of the middle child?a9 yearsb12 yearsc15 yearsd18 years
Question
The total age of seven siblings born at three-year intervals is 84 years. What is the age of the middle child?a9 yearsb12 yearsc15 yearsd18 years
Solution
Let's solve this step by step:
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If the siblings are born at three-year intervals, this means the ages of the siblings are in an arithmetic progression.
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In an arithmetic progression, the middle term is the average of all the terms.
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The total age of the siblings is given as 84 years. If there are 7 siblings, the average age (which is also the age of the middle child because the ages are in an arithmetic progression) would be 84/7 = 12 years.
So, the age of the middle child is 12 years. The answer is (b) 12 years.
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