## 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: 2`b` + 2`g` + 2`d` = 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