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.
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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