Ann, beth and celine wanted to weigh themselves, but the scales they had were broken and would only give readings over 100kg. they decided to weigh themselves in pairs a and calculate their weights from the results.
• ann and beth weighed 119kg
• beth and celine weighed 112kg
• celine and ann weighed 115kg
how much did each of the girls weigh?

Ann - 61 kg

Beth - 58 kg

Celine - 54 kg

Step-by-step explanation:

We use Algebra to solve this. We give unknown to one of them. I have decide to use x here and give it to earn.

Ann = x

Ann + beth = 119 meaning ( 119 - x) = beth

beth = 119 - x

celine + ann = 115 meaning(115 - x) = celine

celine = 115 - x

know we know>

Ann = x

beth = 119 - x

celine = 115 - x

and    beth + celine= 112 kg meaning =>

119 - x + 115 - x = 112

we collect the like terms. 119 and 115 cross the equal sign to the other side.

-x-x = 112 - 119 - 115

-2x = -122

-2x/-2= -122/-2

x = 61

therefore ann has 61 kg

beth has 119 - 61 = 58 kg

celine has 115 - 61 = 54 kg

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