Question
In a workshop of 50 participants, the average age is 40 years. One participant aged 38 leaves, and 5 new participants with an average age of 44 join. When the speaker’s age is also included, the average becomes 41 years. What is the age of the speaker?
Solution
Initial total age = 50 × 40 = 2000 years
Age of 5 new participants = 5 × 44 = 220 years Let the speaker’s age be ‘y’
New total age without speaker = 2000 - 38 + 220 + y = (2182 + y)
New total number of people = 50 - 1 + 5 + 1 = 55
New total age = 55 × 41 = 2255 years
So, speaker’s age = 2255 - 2182 = 73 years
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