The average weight of 15 oarsmen in a boat is increased by 1.6 kg when one of the crew, who weighs 42 kg is replaced by a new man. Find the weight of the new man (in kg). ?->(Show Answer!)

1. The average weight of 15 oarsmen in a boat is increased by 1.6 kg when one of the crew, who weighs 42 kg is replaced by a new man. Find the weight of the new man (in kg).

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By: anil on 05 May 2019 01.51 am

Let the average weight of the original 15 oarsmen = $$A$$
=> Total weight of 15 oarsmen = $$15A$$ Let the weight of new man be $$x$$ After he replaces the man with weight 42 kg, the average weight increases by 1.6 kg => $$frac{15A + x - 42}{15} = A + 1.6$$ => $$ 15A + x - 42 = 15A + 24$$ => $$x = 24+42 = 66$$

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