document.write( "Question 1065909: Lisa is eight years older than Megan and Alyssa is two years younger than Megan. The sum of their ages is 42. How old is each girl ?? \n" ); document.write( "
Algebra.Com's Answer #681097 by ankor@dixie-net.com(22740)![]() ![]() You can put this solution on YOUR website! Write an equation for each statement \n" ); document.write( ": \n" ); document.write( " Lisa is eight years older than Megan \n" ); document.write( "L = m + 8 \n" ); document.write( " and Alyssa is two years younger than Megan. \n" ); document.write( "a = m - 2 \n" ); document.write( "The sum of their ages is 42. \n" ); document.write( "L + m + a = 42 \n" ); document.write( "Replace L with (m+8); replace a with (m-2) \n" ); document.write( "(m+8) + m + (m-2) = 42 \n" ); document.write( "m + m + m + 8 - 2 = 42 \n" ); document.write( "3m + 6 = 42 \n" ); document.write( "3m = 42 - 6 \n" ); document.write( "3m = 36 \n" ); document.write( "m = 36/3 \n" ); document.write( "m = 12 yrs is Megan's age \n" ); document.write( "then \n" ); document.write( "L = 12 + 8 \n" ); document.write( "L = 20 yrs is Lisa's age \n" ); document.write( "and \n" ); document.write( "a = 12 - 2 \n" ); document.write( "a = 10 yrs is Alyssa's age \n" ); document.write( ": \n" ); document.write( ": \n" ); document.write( "Check \n" ); document.write( "20 + 12 + 10 = 42\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |