Trio weight

Adela, Barunka, and Cecilia are weight in pairs. Adela with Barunka weighs 98 kg, Barunka with Cecilia 90 kg, and Adela with Cecilia 92 kg. How much does each of them weigh?

Correct answer:

a =  50
b =  48
c =  42

Step-by-step explanation:


a+b = 98
b+c = 90
a+c = 92

a+b = 98
b+c = 90
a+c = 92

Row 3 - Row 1 → Row 3
a+b = 98
b+c = 90
-b+c = -6

Row 3 + Row 2 → Row 3
a+b = 98
b+c = 90
2c = 84


c = 84/2 = 42
b = 90-c = 90-42 = 48
a = 98-b = 98-48 = 50

a = 50
b = 48
c = 42

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