Question
The average age of a group of 6 friends is 30 years. If
the oldest friend leaves the group, the average age of the remaining group decreases by 2 years. Find the age of the friend who left.Solution
Let the age of the oldest friend (who left) be y years. Total age of 6 friends = 6 x 30 = 180 years. After the oldest friend leaves, the average age of the remaining 5 friends is 30 - 2 = 28 years. So, total age of remaining 5 friends = 5 x 28 = 140 years. Now, Age of the oldest friend = Total age of 6 friends - Total age of 5 friends = y = 180 - 140 = 40 years.
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