Time passing

Six years ago, Marcela's mother was two times older than her and two times younger than her father. When Marcela is 36, she will be twice as young as her father. How old are Marcela, her father, and her mother now?

Correct answer:

m =  18
o =  54
w =  30

Step-by-step explanation:


2(m-6) = w-6
w-6 = (o-6)/2
36 = (o+(36-m))/2


2·(m-6) = w-6
w-6 = (o-6)/2
36 = (o+(36-m))/2

2m-w = 6
o-2w = -6
m-o = -36

Row 3 - 1/2 · Row 1 → Row 3
2m-w = 6
o-2w = -6
-o+0.5w = -39

Row 3 + Row 2 → Row 3
2m-w = 6
o-2w = -6
-1.5w = -45


w = -45/-1.5 = 30
o = -6+2w = -6+2 · 30 = 54
m = 6+w/2 = 6+30/2 = 18

m = 18
o = 54
w = 30

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