Four small boys want to know their weights but the weighing machine only weigh objects more than40kg.

As each of the boys knows that his weight is less than this, they weigh themselves two at a time.Tlre results of all possible paired weighings are : 48 kg, 49 kg, 52k9,53 kg, 56 kg and 57 kg,Mohinda, the tallest of the four boys, weighs the most.what does he weigh ?1) 29kg2) 30kg3) 31 kg4) 32 kg

Let the weight of four boys be w1,w2,w3, and w4kgIf,we select two different boys from the four,we can do it in C24wayswe have six different weights given to usw1+w2=48kg            w1+w3=49kg        w1+w4=52kg     w2+w3=53kgw4+w2=56kg             w3+w4=57kgw1+w2+w3+w4=105kgw1+w4+w2+w4+w3+w4=52+56+57=165kg(w1+w2+w3+w4)+2w4=165kgw4=165-1052=30kgw3=27kg,  w2=22kg and w1=26kgWeight of Mohinda=30kg
 

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