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(52790)   (Show Source):
You can put this solution on YOUR website! .
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
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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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