SOLUTION: Paul is 12 years younger than Mim. In 23 years, he will be twice Mim's age 19 years ago. How old is Mim now?

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Question 1085921: Paul is 12 years younger than Mim. In 23 years, he will be twice Mim's age 19 years ago. How old is Mim now?
Answer by math_helper(2461) About Me  (Show Source):
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P = Paul's current age
M = Mim's current age
P = M-12
P + 23 = 2(M-19)
Set top eqn equal to bottom, to eliminate P:
M-12 = 2M-38-23
M = -12+38+23 = 49
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Ans: Mim is currently 49 years old
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Check: M=49 —> P=37
In 23 years, P=60 and that is 2*(49-19) = 2*(30) (ok)