document.write( "Question 901128: The sum of the ages of Mark and Linda is 114 years. 7 years ago, Mark's age was 4 times Linda's age. How old is Mark now?\r
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Algebra.Com's Answer #546537 by JulietG(1812)![]() ![]() You can put this solution on YOUR website! M + L = 114 \n" ); document.write( "M-7 = 4(L-7) \n" ); document.write( "Distribute \n" ); document.write( "M-7 = 4L-28 \n" ); document.write( "Add 7 to each side \n" ); document.write( "M = 4L-21 \n" ); document.write( "Take that value and substitute it into the first equation \n" ); document.write( "M + L = 114 \n" ); document.write( "(4L-21)+L = 114 \n" ); document.write( "5L-21 = 114 \n" ); document.write( "Add 21 to each side \n" ); document.write( "5L = 135 \n" ); document.write( "Divide each side by 5 \n" ); document.write( "L = 27 \n" ); document.write( "If Linda is 27, then Mark is 114-27, or 87. \n" ); document.write( "Prove it: \n" ); document.write( "7 years ago, Mark's age was 4 times Linda's age \n" ); document.write( "7 years ago, Mark would have been 87-7, or 80 years old \n" ); document.write( "7 years ago, Linda would have been 27-7, or 20 years old \n" ); document.write( "80 years old is 4 times as old as 20. \n" ); document.write( " \n" ); document.write( " |