document.write( "Question 772280: 5 yrs ago Ben was 2/3 as old as Kris. 10 yrs from now he will be 5/6 as old as Kris. how old are they now. \n" ); document.write( "
Algebra.Com's Answer #470796 by josmiceli(19441)\"\" \"About 
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Let \"+b+\" = Ben's age now
\n" ); document.write( "Let \"+k+\" = Kris's age now
\n" ); document.write( "-----------------------
\n" ); document.write( "(1) \"+b+-+5+=+%282%2F3%29%2A%28+k+-+5+%29+\"
\n" ); document.write( "(2) \"+b+%2B+10+=+%285%2F6%29%2A%28+k+%2B+10+%29+\"
\n" ); document.write( "-----------------------------
\n" ); document.write( "(1) \"+3%2A%28+b+-+5+%29+=+2%2A%28+k+-+5+%29+\"
\n" ); document.write( "(1) \"+3b+-+15+=+2k+-+10+\"
\n" ); document.write( "(1) \"+3b+-+2k+=+5+\"
\n" ); document.write( "and
\n" ); document.write( "(2) \"+6%2A%28+b+%2B+10+%29+=+5%2A%28+k+%2B+10+%29+\"
\n" ); document.write( "(2) \"+6b+%2B+60+=+5k+%2B+50+\"
\n" ); document.write( "(2) \"+6b+-+5k+=+-10+\"
\n" ); document.write( "--------------------
\n" ); document.write( "Multiply both sides of (1) by \"+2+\"
\n" ); document.write( "and subtract (2) from (1)
\n" ); document.write( "(1) \"+6b+-+4k+=+10+\"
\n" ); document.write( "(2) \"+-6b+%2B+5k+=+10+\"
\n" ); document.write( "\"+k+=+20+\"
\n" ); document.write( "and, since
\n" ); document.write( "(1) \"+3b+-+2k+=+5+\"
\n" ); document.write( "(1) \"+3b+-+2%2A20+=+5+\"
\n" ); document.write( "(1) \"+3b+=+45+\"
\n" ); document.write( "(1) \"+b+=+15+\"
\n" ); document.write( "Ben is 15 and Kris is 20
\n" ); document.write( "check:
\n" ); document.write( "(1) \"+b+-+5+=+%282%2F3%29%2A%28+k+-+5+%29+\"
\n" ); document.write( "(1) \"+15+-+5+=+%282%2F3%29%2A%28+20+-+5+%29+\"
\n" ); document.write( "(1) \"+10+=+%282%2F3%29%2A15+\"
\n" ); document.write( "(1) \"+30+=+2%2A15+\"
\n" ); document.write( "(1) \"+30+=+30+\"
\n" ); document.write( "OK -you can check other equation\r
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