Question
The average age of a family of 6 members is 30 years. If one of the members aged 16 years leaves the family, by how much will the average age of the remaining members increase?
Solution
Let the total age of the family be 30 x 6 = 180 years. After the member aged 16 leaves, the new total age is 180 - 16 = 164 years. The average age of the remaining 5 members is 164/5 = 32.8 years. Original average age was 30 years, and now it is 32.8 years, thus the increase is 32.8 - 30 = 2.8 years.
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