document.write( "Question 1053592: Fred is ten years younger than John. Two years ago, Fred was one-half of John's age. How old is each? \n" ); document.write( "

Algebra.Com's Answer #668813 by josmiceli(19441) $\"\"$ $\"About$

You can put this solution on YOUR website!
Let $\"+a+\"$ = Fred's age now
\n" ); document.write( "Let $\"+b+\"$ = John's age now
\n" ); document.write( "----------------------------
\n" ); document.write( "(1) $\"+a+=+b+-+10+\"$
\n" ); document.write( "(2) $\"+a+-+2+=+%281%2F2%29%2A%28+b+-+2+%29+\"$
\n" ); document.write( "----------------------------
\n" ); document.write( "Substitute (1) into (2)
\n" ); document.write( "(2) $\"+b+-+10+-+2+=+%281%2F2%29%2A%28+b+-+2+%29+\"$
\n" ); document.write( "(2) $\"+b+-+12+=+%281%2F2%29%2A%28+b+-+2+%29+\"$
\n" ); document.write( "(2) $\"+2%2A%28+b+-+12+%29+=+b+-+2+\"$
\n" ); document.write( "(2) $\"+2b+-+24+=+b+-+2+\"$
\n" ); document.write( "(2) $\"+b+=+24+-+2+\"$
\n" ); document.write( "(2) $\"+b+=+22+\"$
\n" ); document.write( "and
\n" ); document.write( "(1) $\"+a+=+b+-+10+\"$
\n" ); document.write( "(1) $\"+a+=+22+-+10+\"$
\n" ); document.write( "(1) $\"+a+=+12+\"$
\n" ); document.write( "------------------
\n" ); document.write( "Fred is 12
\n" ); document.write( "John is 22
\n" ); document.write( "---------------
\n" ); document.write( "check:
\n" ); document.write( "(2) $\"+a+-+2+=+%281%2F2%29%2A%28+b+-+2+%29+\"$
\n" ); document.write( "(2) $\"+12+-+2+=+%281%2F2%29%2A%28+22+-+2+%29+\"$
\n" ); document.write( "(2) $\"+10+=+%281%2F2%29%2A20+\"$
\n" ); document.write( "92) $\"+10+=+10+\"$
\n" ); document.write( "OK \n" ); document.write( "

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