document.write( "Question 177335: ramon is 3 years older than sally. four times ramon's age ten years ago is 5 less than twice ramon's age now. how old are they now? \n" ); document.write( "
Algebra.Com's Answer #132394 by gonzo(654)\"\" \"About 
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let r = ramon's age.
\n" ); document.write( "let s = sally's age.
\n" ); document.write( "ramon is 3 years older than sally.
\n" ); document.write( "r = s + 3
\n" ); document.write( "ramon's age 10 years ago is:
\n" ); document.write( "r - 10
\n" ); document.write( "4 times ramon's age 10 years ago is:
\n" ); document.write( "4*(r-10)
\n" ); document.write( "twice ramon's age now is:
\n" ); document.write( "2*r
\n" ); document.write( "5 less than this is:
\n" ); document.write( "2*r - 5
\n" ); document.write( "4 times ramon's age 10 years ago is 5 less than twice ramon's age now.
\n" ); document.write( "4*(r-10) = 2*r - 5
\n" ); document.write( "since this second equation has one unknown, solve for r using this second equation.
\n" ); document.write( "4*(r-10) = 2*r - 5
\n" ); document.write( "remove parentheses:
\n" ); document.write( "4*r - 40 = 2*r - 5
\n" ); document.write( "subttract 2*r from both sides and add 40 to both sides to get:
\n" ); document.write( "4*r - 2*r = -5 + 40
\n" ); document.write( "combine like terms to get:
\n" ); document.write( "2*r = 35
\n" ); document.write( "r = 35/2 = 17.5
\n" ); document.write( "since r = s + 3, then:
\n" ); document.write( "s = 14.5
\n" ); document.write( "ramon is 17 and 1/2 years old now.
\n" ); document.write( "sally is 14 and 1/2 years old now.
\n" ); document.write( "to verify, substitute these values in the original equations.
\n" ); document.write( "use this relationship first:
\n" ); document.write( "four times ramon's age ten years ago is 5 less than twice ramon's age now.
\n" ); document.write( "ramon's age now is 17.5
\n" ); document.write( "ramons's age 10 years ago is 7.5
\n" ); document.write( "4 times 7.5 = 30
\n" ); document.write( "30 is 5 less than twice ramon's age now.
\n" ); document.write( "twice ramon's age now is 35
\n" ); document.write( "5 less than that is 30
\n" ); document.write( "30 = 30
\n" ); document.write( "looks good.
\n" ); document.write( "ramon is 3 years older than sally.
\n" ); document.write( "17.5 is 3 years older than 14.5
\n" ); document.write( "equations have been verified to be true.
\n" ); document.write( "your answer is:
\n" ); document.write( "ramon is 17.5 years old now.
\n" ); document.write( "sally is 14.5 years old now.
\n" ); document.write( " \n" ); document.write( "
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