SOLUTION: Ruth is twice as old as Pat. In 4 years, Ruth will be three times as old as Pat was 3 years ago. How old is each now?

Question 206130: Ruth is twice as old as Pat. In 4 years, Ruth will be three times as old as Pat was 3 years ago. How old is each now?
Answer by Marth(57) (Show Source): You can put this solution on YOUR website!
Right now, "Ruth is twice as old as Pat."
let x = Pat's age
2x = Ruth's age
"In 4 years, Ruth will be three times as old as Pat was 3 years ago."
is Ruth's age in 4 years. is Pat's age 3 years ago.
Because Ruth will be three times as old,
Solve.

Subtract and add to both sides

_______
Since x = Pat's age and 2x = Ruth's age,
Pat is 13 now.
Ruth is 26 now.

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