Mother and daughter

The ratio of mother and daughter years is 5:2. After seven years, the ratio is 2:1. How many years ago was the daughter born?

Correct answer:

d =  14

Step-by-step explanation:

m:d = 5:2 (m+7):(d+7) = 2:1  2m=5d 1(m+7)=2(d+7)  2 m=5 d 1 (m+7)=2 (d+7)  5d2m=0 2dm=7  Row252 Row1Row2 5d2m=0 0.2m=7  m=0.27=35 d=50+2m=50+2 35=14  d=14 m=35

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