In a boat 25 persons were sitting. Their average weight increased one kilogram when One man goes and a new man comes in. The weight of the new man is 70kgs. Find the Weight of the man who is going.
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W1 = avg weight initially
25 * W1 = weight of 25 persons in itially
Let weight of the man who leaves = W
remaining 24 persons weight is = 25 W1 - W
When new man comes in total weight = 25 W1 - W + 70
Average weight of the new set of 25 persons = (25 W1 - W +70) / 25
= W1 + 1 one more than previous average
=> 25W1 - W +70 = 25 W1 + 25
=> W = 45 Kg
answer
25 * W1 = weight of 25 persons in itially
Let weight of the man who leaves = W
remaining 24 persons weight is = 25 W1 - W
When new man comes in total weight = 25 W1 - W + 70
Average weight of the new set of 25 persons = (25 W1 - W +70) / 25
= W1 + 1 one more than previous average
=> 25W1 - W +70 = 25 W1 + 25
=> W = 45 Kg
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