document.write( "Question 55922: If Leah is 6 years older than her sister, Sue,and John is 5 years than Leah, and the total of their ages is 41. Then how old is Sue? \n" ); document.write( "
Algebra.Com's Answer #37925 by Edwin McCravy(20056)![]() ![]() You can put this solution on YOUR website! If Leah is 6 years older than her sister, Sue,\r\n" ); document.write( "and John is 5 years than Leah, and the total \r\n" ); document.write( "of their ages is 41. Then how old is Sue?\r\n" ); document.write( "\r\n" ); document.write( "Let x = Sue's age\r\n" ); document.write( "\r\n" ); document.write( ">>...Leah is 6 years older than...Sue...<<\r\n" ); document.write( "\r\n" ); document.write( "So Leah's age is Sue's age plus 6 or (x+6)\r\n" ); document.write( "\r\n" ); document.write( ">>...John is 5 years than Leah...<<\r\n" ); document.write( "\r\n" ); document.write( "So John's age is Leah's age plus 5 or (x+6)+5\r\n" ); document.write( "\r\n" ); document.write( ">>...the total of their ages is 41...<<\r\n" ); document.write( "\r\n" ); document.write( "So Sue's age plus Leah's age plus John's age \r\n" ); document.write( "equals 41 OR\r\n" ); document.write( "\r\n" ); document.write( " x + (x+6) + (x+6)+5 = 41\r\n" ); document.write( "\r\n" ); document.write( "Solve that and get x=8\r\n" ); document.write( "\r\n" ); document.write( "So Sue is 8, Leah is 6 years older, or 14, \r\n" ); document.write( "and John is 5 years older than Leah, or 19.\r\n" ); document.write( "Checking: 8+14+19 = 41\r\n" ); document.write( "\r\n" ); document.write( "Edwin\r \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |