document.write( "Question 940963: The sum of the ages of Diego and Marissa is 96 years. 12 years ago, Diego's age was 3 times Marissa's age. How old is Diego now?
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Algebra.Com's Answer #573532 by algebrahouse.com(1659)![]() ![]() You can put this solution on YOUR website! x = Marissa's age now \n" ); document.write( "96 - x = Diego's age now {the sum of their ages is 96}\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "x - 12 = Marissa's age 12 years ago {subtracted 12 from current age} \n" ); document.write( "84 - x = Diego's age 12 years ago {subtracted 12 from current age}\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "84 - x = 3(x - 12) {twelve years ago, Diego was three times Marissa} \n" ); document.write( "84 - x = 3x - 36 {used distributive property} \n" ); document.write( "4x = 120 {added x and added 36 to each side} \n" ); document.write( "x = 30 {divided each side by 4} \n" ); document.write( "96 - x = 66 {substituted 30, in for x, into 96 - x}\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Marissa is 30 \n" ); document.write( "Diego is 66 \n" ); document.write( " For more help from me, visit: www.algebrahouse.com \n" ); document.write( " \n" ); document.write( " |