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Let's say that 10 years ago Ben was x years old, and Mike was 7x years old.
Now Ben would be x + 10 years old, and Mike 2(x + 10) or 7x + 10 years old.

So we have (Mike age):

2(x + 10) = 7x + 10
2x + 20 = 7x + 10 (subtract 2x and 10 to both sides)
2x - 2x -10 + 20 = 7x - 2x - 10 + 10
10 = 5x (divide by 5 to both sides)
2 = x (Ben's age 10 years ago)

So that Ben is 12 years old now, and Mike is 24 years old (as you see Mike was a very young father, 14 years old).

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Q: In ten years time Mike will be twice as old as his son Ben 10 years ago mike was 7 times as old as Ben How old are Mike and Ben now?
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