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
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document.write( "My problem is when I get the solution, the ages are backwards.\r
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document.write( "Now Aaron = 2 Now Jack
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document.write( "(Now Aaron - 3) + (Now Jack -3) = 45
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document.write( "Now Aaron + Now Jack = 51
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document.write( "Now Jack = 51 - Now Aaron
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document.write( "Substitute-
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document.write( "Now Aaron = 2(51 - Now Aaron)
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document.write( "Now Aaron = 51 - 2 now Aaron
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document.write( "3 Now Aaron = 51
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document.write( "Aaron = 17
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document.write( "Jack = 34\r
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document.write( "But Aaron is supposed to be twice Jacks age not half it. \n" );
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Algebra.Com's Answer #8961 by Earlsdon(6294)![]() ![]() ![]() 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. \n" ); document.write( " |