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The average age of five persons in a family is 60. If one person leaves the family and he is replaced by another member of other family, the average age of the family becomes 45 now. If the age of the new member who replaced is 15 years. What was the age of the person who left the family?

The average age of five persons in a family is 60. If one person leaves the family and he is replaced by another member of other family, the average age of the family becomes 45 now. If the age of the new member who replaced is 15 years. What was the age of the person who left the family? Correct Answer 90

⇒ Average age of family = 60

⇒ Sum of the age of the family member = 60 × 5 = 300

When the man leaves and new person joins the family average age of the family = 45

Now,

⇒ Sum of the family = 45 × 5 = 225

⇒ Difference between the sum of the ages of person = 300 - 225 = 75

⇒ Age of new member = 15 years

∴ The age of the person who left the family = 75 + 15 = 90 years

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