A mother

A mother is three times older than her daughter. 9 years ago, a mom was six times older than her daughter. How old are a mother and daughter now?

Correct answer:

d =  15
m =  45

Step-by-step explanation:


m=3d
m-9 = 6(d-9)

m=3·d
m-9 = 6·(d-9)

3d-m = 0
6d-m = 45

Pivot: Row 1 ↔ Row 2
6d-m = 45
3d-m = 0

Row 2 - 3/6 · Row 1 → Row 2
6d-m = 45
-0.5m = -22.5


m = -22.5/-0.5 = 45
d = 45+m/6 = 45+45/6 = 15

d = 15
m = 45

Our linear equations calculator calculates it.



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