SOLUTION: In a film an actor plays an "uncle", he was being criticized for marrying a woman when he is three times her age. He then replied ah but in 20 years time I will only be twice her a

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Question 1021551: In a film an actor plays an "uncle", he was being criticized for marrying a woman when he is three times her age. He then replied ah but in 20 years time I will only be twice her age. How old is the "uncle" and the woman?
Need a formula on how to get answer

Answer by ikleyn(52797)   (Show Source): You can put this solution on YOUR website!
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In a film an actor plays an "uncle", he was being criticized for marrying a woman when he is three times her age. He then replied ah but in 20 years time I will only be twice her age. How old is the "uncle" and the woman?
Need a formula on how to get answer
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

Today: 
m = 3w    (man's age is three times of that of the woman).

In 20 years after:
m + 20 = 2(w+20).

So you have the system of two equations in two unknowns:

m = 3w,              (1)
m + 20 = 2(w+20).    (2)

Substitute m = 3w from (1) to (2). You will get

3w + 20 = 2(w+20),   or  3w + 20 = 2w + 40,   or  w = 40-20 = 20.

Answer. Woman is 20 years now. The actor is 60 years now.

Thank you for submitting so fresh formulation of so traditional problem.


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