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Margaret and Zdena weigh the same, and Petra weighs 3 kg more. Together, they weigh 156 kg. How much do they weigh?

Correct answer:

M =  51 kg
Z =  51 kg
P =  54 kg

Step-by-step explanation:


M=Z
P = 3+M
M+Z+P = 156

M-Z = 0
M-P = -3
M+P+Z = 156

Row 2 - Row 1 → Row 2
M-Z = 0
-P+Z = -3
M+P+Z = 156

Row 3 - Row 1 → Row 3
M-Z = 0
-P+Z = -3
P+2Z = 156

Row 3 + Row 2 → Row 3
M-Z = 0
-P+Z = -3
3Z = 153


Z = 153/3 = 51
P = -3-Z/-1 = -3-51/-1 = 54
M = 0+Z = 0+51 = 51

M = 51
P = 54
Z = 51

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