document.write( "Question 147349: Kelly is two years yonger than Kristen. If twice Kristen's age is increased by five times Kelly's age the sum is 53. Find the ages of the two girls. I came up wiht Kristen 8.14 and Kelly 6.14.......that is two years less, but it doesn't work. \n" ); document.write( "
Algebra.Com's Answer #107723 by ankor@dixie-net.com(22740)\"\" \"About 
You can put this solution on YOUR website!
Write an equation for each statement\r
\n" ); document.write( "\n" ); document.write( "Kelly is two years younger than Kristen.
\n" ); document.write( "Ke = Kr - 2
\n" ); document.write( ":
\n" ); document.write( "If twice Kristen's age is increased by five times Kelly's age the sum is 53.
\n" ); document.write( "2Kr + 5Ke = 53
\n" ); document.write( ":
\n" ); document.write( "Find the ages of the two girls.
\n" ); document.write( ":
\n" ); document.write( "from the 1st equation; substitute(Kr-2) for Ke in the above equation:
\n" ); document.write( "2Kr + 5(Kr-2) = 53
\n" ); document.write( ":
\n" ); document.write( "2Kr + 5Kr - 10 = 53
\n" ); document.write( ":
\n" ); document.write( "Kr = 53 + 10
\n" ); document.write( "Kr = \"63%2F7\"
\n" ); document.write( "Kr = 9 yrs old
\n" ); document.write( "then
\n" ); document.write( "Ke = 9 - 2 = 7 yrs old
\n" ); document.write( ":
\n" ); document.write( ":
\n" ); document.write( "Check solution in the statement:
\n" ); document.write( "\"twice Kristen's age is increased by five times Kelly's age the sum is 53.\"
\n" ); document.write( "2(9) + 5(7) =
\n" ); document.write( "18 + 35 = 53
\n" ); document.write( " \n" ); document.write( "
\n" );