document.write( "Question 18658: Aaron is twice as old as Jack. The sum of their ages three years ago was 45 years. How old are they now?\r
\n" ); document.write( "\n" ); document.write( "My problem is when I get the solution, the ages are backwards.\r
\n" ); document.write( "\n" ); document.write( "Now Aaron = 2 Now Jack
\n" ); document.write( "(Now Aaron - 3) + (Now Jack -3) = 45
\n" ); document.write( "Now Aaron + Now Jack = 51
\n" ); document.write( "Now Jack = 51 - Now Aaron
\n" ); document.write( "Substitute-
\n" ); document.write( "Now Aaron = 2(51 - Now Aaron)
\n" ); document.write( "Now Aaron = 51 - 2 now Aaron
\n" ); document.write( "3 Now Aaron = 51
\n" ); document.write( "Aaron = 17
\n" ); document.write( "Jack = 34\r
\n" ); document.write( "\n" ); document.write( "But Aaron is supposed to be twice Jacks age not half it.
\n" ); document.write( "

Algebra.Com's Answer #8961 by Earlsdon(6294)\"\" \"About 
You can put this solution on YOUR website!
Try this.\r
\n" ); document.write( "\n" ); document.write( "A = Aaron's age now.
\n" ); document.write( "J = Jack's age now.
\n" ); document.write( "Write two equations from the problem description.\r
\n" ); document.write( "\n" ); document.write( "A = 2J Aaron is twice Jack's age.
\n" ); document.write( "(A-3) + (J-3) = 45 The sum of their ages 3 years ago = 45 Simplify.
\n" ); document.write( "A + J - 6 = 45 Add 6 to both sides.
\n" ); document.write( "A + J = 51 Substitute A = 2J
\n" ); document.write( "2J + J = 51
\n" ); document.write( "3J = 51 Divide both sides by 3.
\n" ); document.write( "J = 17 years.
\n" ); document.write( "A = 2J = 2(17) = 34 years.
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