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)\"\" \"About 
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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
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