Question 70

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).

Solution

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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