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The average age weight of 10 oarsmen in a boat is increased by 1.8kg when one of the crew, who weights 53 kg is replaced by a new man. find the weight of

Let the total weight of the 9 men who do not get replaced be "n" and the weight of the new man be "x". According to question:

{(n+53) / 10} + 1.8 = (n+x) / 10 (applying formula for calculating average ) => (n + 53 + 18) / 10 = (n+x) / 10 (talking lcm of LHS) => n+71=(n+x) (multiplying 10 both sides) => x = 71 (cancelling n from both sides) THEREFORE the weight of the new man is 71 Kg..