SOLUTION: matthew is 3 times as old as jenny. In 7 years he will be twice as old as she will be then. How old is each now?

Question 128175: matthew is 3 times as old as jenny. In 7 years he will be twice as old as she will be then. How old is each now?
Answer by solver91311(24713) (Show Source): You can put this solution on YOUR website!
m is Matthew's age now. j is Jenny's age now.

because Matthew is three times as old as Jenny now.

In 7 years, Matthew will be years old, and Jenny will be , and at that time:

because Matthew will be twice as old as Jenny in 7 years.

But we know that so we can substitute this value into our last equation:

So Jenny is 7 now, and Matthew is .

Check:
In seven years Jenny will be 14 and Matthew will be 28. 28 = 2 * 14. Answer checks.

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