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The average age of a family of 5 members, three years ago, was 17 years. In spite of the birth of a…

Three years ago the total age of the 5 members was \(5\times17=85\) years, so today those five total \(85+15=100\) years. The present total for 6 members at an average of 17…

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The average age of a family of 5 members, three years ago, was 17 years. In spite of the birth of a child in the family during these 3 years, the present average age of the family remains the same. What is the present age of the child?

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Correct answer A

Three years ago the total age of the 5 members was 5×17=855\times17=85 years, so today those five total 85+15=10085+15=100 years. The present total for 6 members at an average of 17 is 102 years. The child's age is 102−100=2102-100=2 years.

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