Question
Average age of 5 men is 30 years. A new man replaces one
whose age was 25 years, and the average becomes 31. Find the age of the new man.Solution
ATQ, Average age of 5 men = 30 years Total age of 5 men = 5 × 30 = 150 years One man of age 25 is replaced by a new man. New average = 31 years New total age = 5 × 31 = 155 years Let age of new man = x. Old total − age of man replaced + age of new man = new total 150 − 25 + x = 155 125 + x = 155 x = 155 − 125 = 30 Age of the new man = 30 years.
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