document.write( "Question 156028: Jack is three times as old as Megan was two years ago. The sum of their ages three years ago was 16.\r
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document.write( "How old are Jack and Megan now?\r
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document.write( "Please show the work on how you approach the answer. Thank you! \n" );
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Algebra.Com's Answer #114919 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! Jack is three times as old as Megan was two years ago. \n" ); document.write( "The sum of their ages three years ago was 16. \n" ); document.write( "How old are Jack and Megan now? \n" ); document.write( "--------------------------------- \n" ); document.write( "Now DATA: \n" ); document.write( "Jack is J yrs old. \n" ); document.write( "Megan is M yrs old. \n" ); document.write( "----------------------- \n" ); document.write( "EQUATIONS: \n" ); document.write( "J = 3(M-2) = 3M-6 \n" ); document.write( "(J-3) + (M-3) = 16 \n" ); document.write( "----------------------- \n" ); document.write( "Substitute J = 3M-6 into the 2nd equation to solve for \"M\": \n" ); document.write( "(3M-6-3) + (M-3) = 16 \n" ); document.write( "4M - 12 = 16 \n" ); document.write( "4M = 28 \n" ); document.write( "M = 7 (megan's age now) \n" ); document.write( "-------------------------- \n" ); document.write( "J= 3*7-6 = 15 (Jack's age now) \n" ); document.write( "================================== \n" ); document.write( "Cheers, \n" ); document.write( "Stan H.\r \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " \n" ); document.write( " |