document.write( "Question 1022679: Jessica is 4 years younger than Nadia.
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document.write( "8 years ago, Nadia was 3 times as old as Jessica. \n" );
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Algebra.Com's Answer #753246 by VFBundy(438)![]() ![]() You can put this solution on YOUR website! J = Jessica's age \n" ); document.write( "N = Nadia's age \n" ); document.write( " \n" ); document.write( "Jessica is 4 years younger than Nadia: \n" ); document.write( "J = N - 4 \n" ); document.write( " \n" ); document.write( "Put all the variables on the left side of the equation: \n" ); document.write( "J - N = -4 \n" ); document.write( " \n" ); document.write( "8 years ago, Nadia was 3 times as old as Jessica: \n" ); document.write( "N - 8 = 3(J - 8) \n" ); document.write( " \n" ); document.write( "Simplify above: \n" ); document.write( "N - 8 = 3J - 24 \n" ); document.write( " \n" ); document.write( "Put all the variables on the left side of the equation: \n" ); document.write( "-3J + N = -16 \n" ); document.write( " \n" ); document.write( "List both equations: \n" ); document.write( "J - N = -4 \n" ); document.write( "-3J + N = -16 \n" ); document.write( " \n" ); document.write( "Add both equations together: \n" ); document.write( "-2J = -20 \n" ); document.write( " \n" ); document.write( "Solve for J: \n" ); document.write( "J = 10 \n" ); document.write( " \n" ); document.write( "Substitute J = 10 into any of the equations to find N: \n" ); document.write( "J = N - 4 \n" ); document.write( " \n" ); document.write( "10 = N - 4 \n" ); document.write( " \n" ); document.write( "N = 14 \n" ); document.write( " \n" ); document.write( "J = Jessica's age = 10 \n" ); document.write( "N = Nadia's age = 14 \n" ); document.write( " |