SOLUTION: Using 2 variables: Ruth is twice as old as Pat. In 4 years, Ruth will be three times as old as Pat was three years ago. How old is each now? I have the let statements- let x=Pat

Question 740633: Using 2 variables:
Ruth is twice as old as Pat. In 4 years, Ruth will be three times as old as Pat was three years ago. How old is each now?
I have the let statements- let x=Pat let y= Ruth
Also I have, 2y=p, but I am stuck on the second equation.
Thanks for your help!
Found 2 solutions by josgarithmetic, rothauserc:
Answer by josgarithmetic(39617) (Show Source): You can put this solution on YOUR website!
let x=Pat let y= Ruth

In four years, ages x+4 and y+4.
Three years ago, ages x-3 and y-3.

, In four years, Ruth will be three times as old as Pat was three years ago.
Answer by rothauserc(4718) (Show Source): You can put this solution on YOUR website!
We are given Ruth is twice as old as Pat. In 4 years, Ruth will be three times as old as Pat was three years ago. How old is each now?
let x=Pat let y= Ruth
y = 2x ( Ruth is twice as old as Pat)
y+4 = 3*(x-3) (In 4 years, Ruth will be three times as old as Pat was three years ago)
subtitute 2x for y in second equation and we have
2x+4 = 3x - 9 and
x = 13 and y = 26
so Pat is 13 and Ruth is 26

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