SOLUTION: Ann, Beth and Celine wanted to weigh themselves, but the scales they had were broken and would only give readings over 100 kg. They decided to weigh themselves in pairs and calcul

Question 993298: Ann, Beth and Celine wanted to weigh themselves, but the scales they had were broken
and would only give readings over 100 kg. They decided to weigh themselves in pairs and calculate their weights from the results.
� Ann and Beth weighed 119 kg
� Beth and Celine weighed 112 kg
� Celine and Ann weighed 115 kg
How much did each of the girls weigh?
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
Ann and Beth weighed 119 kg
� Beth and Celine weighed 112 kg
� Celine and Ann weighed 115 kg
How much did each of the girls weigh?
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A + B = 119
B + C = 112
C + A = 115
----------------
Note:
B = 112-C
A = 115-C
-----
Substitute for A and for B ; then solve for "C"::
115-C + 112-C = 119
-2C + 227 = 119
---
-2C = -108
C = 54 lbs
----
A = 112-54 = 58 lbs
A = 115-54 = 61 lbs
--------------
Cheers,
Stan H.
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