Two sisters

Two sisters together have 54 CDs. 6/8 CDs has younger sister and is equal to 3/5 of CDs older sisters. How many CDs has each of the sisters?

Correct result:

a =  24
b =  30


6/8a = 3/5b

6/8•a = 3/5•b

a+b = 54
30a-24b = 0

a = 24
b = 30

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