Question

A person with a weight of 60 kilograms out of 16.5 people, replacing another person, increases his average weight by 1 kilogram, what is the weight of the new person.​

Answer 1

53

If there are 8 men in a boat whose average weight is increased by 1 kg when 1 man of 60 kg is replaced by a new man, what does the newcomer weigh?

Rahil Khera

Answered July 2, 2017

Suppose, the average weight of 8 men before replacement is x, Hence total weight of 8 men would be 8x. Now, let's say the weight of the new man is y. Hence, replacement can be represented with following equation

8x + y - 60 ………(1)

Now, due to replacement, average weight of boat has increases by 1 I.e. x + 1

So, New total weight of the 8 men can be represented by following equation

8(x+1) …………(2)

But equation (1) & (2) are equal, as both of them represents new total weight on boat.

Hence,

8x + y - 60 = 8(x + 1)

8x + y - 60 = 8x + 8

y - 60 = 8

y = 68 kg.

So the weight of the newly added man is 68 kg.

Answer 2

Answer:

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