SOLUTION: julie is three times as old as her son. in 12 years, Julie's age will be one year less than twice her son's age. how old is julie now?

Question 1026548: julie is three times as old as her son. in 12 years, Julie's age will be one year less than twice her son's age. how old is julie now?
Answer by ikleyn(52794) (Show Source): You can put this solution on YOUR website!
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Julie is three times as old as her son. In 12 years, Julie's age will be one year less than twice her son's age. How old is Julie now?
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J = 3s,              (1)      (Julie is three times as old as her son.)
J+12 = 2(s+12) - 1.  (2)      (In 12 years, Julie's age will be one year less than twice her son's age.)

Here J = Julie's age now, s = Julie' son age now.

Substitute J = 3s from (1) into (2). You will get single equation for s:

3s + 12 = 2(s+12) - 1,   or

3s + 12 = 2s + 24 - 1,   or

s = 24 - 1 - 12 = 11.

Thus Julie' son is 11 years now. 
Then Julie is 3*s = 33 years old now.

Solved.

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