document.write( "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)
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Algebra.Com's Answer #151531 by nerdybill(7384)\"\" \"About 
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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?
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\n" ); document.write( "Let x = Ruel's age
\n" ); document.write( "and y = Richard's age
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\n" ); document.write( "From:\"The sum of Richard's age and Ruel's age is 60.\" we get:
\n" ); document.write( "x + y = 60 (equation 1)
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\n" ); document.write( "From:\"Nine years ago, Richard was twice as old as Ruel\" we get:
\n" ); document.write( "y-9 = 2(x-9) (equation 2)
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\n" ); document.write( "Solve equation 1 for y:
\n" ); document.write( "x + y = 60
\n" ); document.write( "y = 60 - x
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\n" ); document.write( "Substitute the above back into equation 2 and solve for x:
\n" ); document.write( "y-9 = 2(x-9)
\n" ); document.write( "60-x -9 = 2(x-9)
\n" ); document.write( "51-x = 2x-18
\n" ); document.write( "51 = 3x-18
\n" ); document.write( "69 = 3x
\n" ); document.write( "23 years = x (Ruel's age)
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