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Weighing Scales

Problem

A set of weighing scales measures weight in kilograms. A boy, a girl, and a dog stand on the scales in three different ways.


How heavy would the boy, girl, and dog weigh together?


Solution

Let the weight of the boy, girl, and dog be b, g and d respectively.

b + g = 118, g + d = 72, b + d = 78

Adding all three equations: 2b + 2g + 2d = 268.

Hence the weight of all three, b + g + d = 134 kg.

How heavy would each be individually?

Problem ID: 81 (Oct 2002)     Difficulty: 1 Star

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