document.write( "Question 1096619: Sam is twice as old as Mary and Mary is 5 years older than her sister Kate. The sum of all their ages is 31. Find the age of Kate, Mary and Same respectively that add up to 31. \n" ); document.write( "
Algebra.Com's Answer #711049 by ankor@dixie-net.com(22740)![]() ![]() You can put this solution on YOUR website! Sam is twice as old as Mary and \n" ); document.write( "s = 2m \n" ); document.write( " Mary is 5 years older than her sister Kate. \n" ); document.write( "m = k + 5 \n" ); document.write( "or \n" ); document.write( "k = m - 5 \n" ); document.write( " The sum of all their ages is 31. \n" ); document.write( "s + m + k = 31 \n" ); document.write( "replace s and k \n" ); document.write( "2m + m + (m-5) = 31 \n" ); document.write( "4m = 31 + 5 \n" ); document.write( "4m =36 \n" ); document.write( "m = 36/4 \n" ); document.write( "m = 9 yrs is Mary's age \n" ); document.write( "then \n" ); document.write( "s = 2(9) \n" ); document.write( "s = 18 is Sam's age \n" ); document.write( "and \n" ); document.write( "k = 9 - 5 \n" ); document.write( "k = 4 yrs is Kate's age \n" ); document.write( ": \n" ); document.write( ": \n" ); document.write( "Find the age of Kate, Mary and Same respectively that add up to 31. \n" ); document.write( "9 + 18 + 4 = 31 \n" ); document.write( " |