document.write( "Question 901107: Sam is 15 years younger than Jane. 3 years ago, Jane's age was 2 times Sam's age. How old is Sam now? \n" ); document.write( "

Algebra.Com's Answer #546453 by JulietG(1812) $\"\"$ $\"About$

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S = J-15
\n" ); document.write( "2(S-3) = J-3
\n" ); document.write( "Distribute
\n" ); document.write( "2S - 6 = J - 3
\n" ); document.write( "Substitute the known value of S from the top equation into the bottom
\n" ); document.write( "2S-6 = J-3
\n" ); document.write( "2(J-15)-6 = J-3
\n" ); document.write( "Distribute
\n" ); document.write( "2J-30-6 = J-3
\n" ); document.write( "2J-36 = J-3
\n" ); document.write( "Subtract J from each side
\n" ); document.write( "J-36 = -3
\n" ); document.write( "Add 36 to each side
\n" ); document.write( "J = 33
\n" ); document.write( "If Jane is 33, then same is 18.

\n" ); document.write( "Prove it: 3 years ago, Jane's age was 2 times Sam's age.
\n" ); document.write( "3 years ago, Jane was 33-3, or 30
\n" ); document.write( "3 years ago, Sam was 18-3, or 15
\n" ); document.write( "30 is twice 15. \n" ); document.write( "

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