Measurements 2728

Three friends weighed themselves so that two always stood on the scale, and the third wrote down the measured weight. After all the measurements, the numbers written on the paper were 60 kg, 64 kg, and 66 kg. Determine the mass of each boy.

Correct answer:

a =  31 kg
b =  29 kg
c =  35 kg

Step-by-step explanation:


a+b=60
b+c = 64
a+c = 66

a+b = 60
b+c = 64
a+c = 66

Row 3 - Row 1 → Row 3
a+b = 60
b+c = 64
-b+c = 6

Row 3 + Row 2 → Row 3
a+b = 60
b+c = 64
2c = 70


c = 70/2 = 35
b = 64-c = 64-35 = 29
a = 60-b = 60-29 = 31

a = 31
b = 29
c = 35

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