SOLUTION: 6 years ago Mrs. Smith was 5 times as old as her daughter Sam.How old is Sam now if her age is one third of her mother's present age?

Question 1012237: 6 years ago Mrs. Smith was 5 times as old as her daughter Sam.How old is Sam now if her age is one third of her mother's present age?
Answer by Edwin McCravy(20054) (Show Source): You can put this solution on YOUR website!

Let Sam's age now be S
Let her Mother's age now be M

6 years ago Mrs. Smith was 5 times as old as her daughter Sam

M-6 = 5(S-6)

How old is Sam now if her age is one third of her mother's present age?

Since Sam's age now is one third of her mother's present age,

S = M

Multiply that through by 3 to clear the fraction:

3S = M

Substitute 3S for M in

3S-6 = 5(S-6)

Solve that for S.

Edwin

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