Q. 104.3( 8 Votes )

The average weight of 10 oarsmen in a boat is increased by 1.5 kg when one of the crew who weights 58 kg is replaced by a new man. Find the weight of the new man.

Answer :

Let the average weight of 10 oarsmen be x kg

Sum of weight of 10 oarsmen = 10x kg

When new man is added to the crew in place of another man then the average increases by = 1.5 kg

So, new average weight = (x + 1.5)kg

New average weight =

10x – 58 + weight of new mean = 10(x + 1.5)

10x – 58 + weight of new mean = 10x + 15

Weight of new mean = 15 + 10x – 10x + 58

Weight of new mean = 73 kg

Hence Weight of the new man in the crew is 73kg.

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