The weights of three boys are in the ratio 4 : 5 : 6. If the sum of the weights of the heaviest and the lightest boy is 48 kg more than the weight of the third boy, what is the weight of the lightest boy?  Pick one.
A) 87 kg B) 38.4 kg C) 98.4kg D) 65.4 kg E) 87.4 kg
Let the weights of the three boys be 4k, 5k and 6k respectively.   4k + 6k = 5k + 48   =&gt; 5k = 48 =&gt; k = 9.6   Therefore the weight of the lightest boy   = 4k = 4(9.6) = 38.4 kg.   Answer:38.4 kg
<result>B</result>
The weights of three boys are in the ratio 4 : 5 : 6. If the sum of the weights of the heaviest and the lightest boy is 48 kg more than the weight of the third boy, what is the weight of the lightest boy?