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 7070 kg.

Since each boy weighed less than 7070 kg, he decided to weigh two boys at a time, making a total of (52)=10 { 5 \choose 2} = 10 weighings.

The readings in kg of the 10 weighings were: 86,92,96,100,104,109,110,113,119,127.86, 92, 96, 100, 104, 109, 110, 113, 119, 127. What was the weight of the second heaviest boy?

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