SOLUTION: A father is 4 times as old as his son. In 20 years he will be twice as old. How old are they now? years,

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Question 106627: A father is 4 times as old as his son. In 20 years he will be twice as old. How old are they now?
years,



Answer by HyperBrain(694) About Me  (Show Source):
You can put this solution on YOUR website!
A father is 4 times as old as his son
Thus, if his son is x years old, then, his father is 4x years old!

In twenty years, 20 yrs is added to their ages. Thus, if the father is 4x, then in twenty years,he will be 4x%2B2 years old! Similarly, his son will be x%2B2 years old. However, in 20 years he will be twice as old as his son. So,
4x%2B20=2%28x%2B20%29
4x%2B20=2x%2B40
4x%2B20-20=2x%2B40-20
4x%2B0=2x%2B20
4x=2x%2B20
4x-2x=2x-2x%2B20
2x=0%2B20
2x=20
2x%2F2=20%2F2
x=10
4x=40
Therefore, the father is now 40 yrs old, while his son is 10 yrs old]

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HyperBrain!