Question

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

Answer 1

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..

Answer 2

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