Creative Method To Obtain All The Weights

Algebra Level 3

Mr. Gan needs to weigh 5 boys, but his scale can only measure weights of more than \(70 \) kg.

Since each boy weighed less than \(70 \) kg, he decided to weigh two boys at a time, making a total of \( { 5 \choose 2} = 10\) weighings.

The readings in kg of the 10 weighings were: \[86, 92, 96, 100, 104, 109, 110, 113, 119, 127.\] What was the weight of the second heaviest boy?

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