SOLUTION: patrick is 5 years older than his nephew. In 2 years he will be 1.5 times older than his nephew. How old is each now?

Question 1106863: patrick is 5 years older than his nephew. In 2 years he will be 1.5 times older than his nephew. How old is each now?
Answer by greenestamps(13203) (Show Source): You can put this solution on YOUR website!

There is no solution in whole numbers, because the problem is stated incorrectly.

"1.5 times older than..." means as old as, and then 1.5 more times as old as -- i.e., 2.5 times AS OLD AS. With that correct grammatical interpretation, the problem can't be solved.

The correct statement of the problem is this:

Patrick is 5 years older than his nephew. In 2 years he will be 1.5 times AS OLD AS his nephew. How old is each now?

With that statement of the problem, we have
(1) Patrick is 5 years older than his nephew
(2) Patrick's age in 2 years will be 1.5 times his nephew's age in 2 years

With the equations in this form, substitution seems appropriate:

Patrick's nephew is 8; Patrick is 13.

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