Homework

Together, the mother and Kate weigh 24.5 kg more than the father. The father weighs 7.6 kg more than the mother. The father weighs 44.8 kg more than Kate. Determine the weights of the father, mother, and Kate.

Correct answer:

k =  32.1
m =  69.3
o =  76.9

Step-by-step explanation:


m+k=o+24.5
o = m + 7.6
o = k + 44.8

k+m-o = 24.5
m-o = -7.6
k-o = -44.8

Row 3 - Row 1 → Row 3
k+m-o = 24.5
m-o = -7.6
-m = -69.3

Row 3 + Row 2 → Row 3
k+m-o = 24.5
m-o = -7.6
-o = -76.9


o = -76.9/-1 = 76.9
m = -7.6+o = -7.6+76.9 = 69.3
k = 24.5-m+o = 24.5-69.3+76.9 = 32.1

k = 321/10 = 32.1
m = 693/10 = 69.3
o = 769/10 = 76.9

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