SOLUTION: The sum of Richard's age and Ruel's age is 60. Nine years ago, Richard was twice as old as Ruel, then how old is Ruel? (pls. include o how you solved the problem)

Question 201310: The sum of Richard's age and Ruel's age is 60. Nine years ago, Richard was twice as old as Ruel, then how old is Ruel? (pls. include o how you solved the problem)

Answer by nerdybill(7384) (Show Source): You can put this solution on YOUR website!
The sum of Richard's age and Ruel's age is 60. Nine years ago, Richard was twice as old as Ruel, then how old is Ruel?
.
Let x = Ruel's age
and y = Richard's age
.
From:"The sum of Richard's age and Ruel's age is 60." we get:
x + y = 60 (equation 1)
.
From:"Nine years ago, Richard was twice as old as Ruel" we get:
y-9 = 2(x-9) (equation 2)
.
Solve equation 1 for y:
x + y = 60
y = 60 - x
.
Substitute the above back into equation 2 and solve for x:
y-9 = 2(x-9)
60-x -9 = 2(x-9)
51-x = 2x-18
51 = 3x-18
69 = 3x
23 years = x (Ruel's age)

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