document.write( "Question 854664: Three years ago,Matt's age was half of Neth's age. If the sum of their ages today is 21, how old is Matt now?
\n" ); document.write( " \n" ); document.write( "

Algebra.Com's Answer #514810 by josmiceli(19441) $\"\"$ $\"About$

You can put this solution on YOUR website!
Let $\"+m+\"$ = Matt's age now
\n" ); document.write( "Let $\"+n+\"$ = Neth's age now
\n" ); document.write( "-----------------------
\n" ); document.write( "(1) $\"+m+-+3+=+%281%2F2%29%2A%28+n+-+3+%29+\"$
\n" ); document.write( "(2) $\"+m+%2B+n+=+21+\"$
\n" ); document.write( "--------------------------
\n" ); document.write( "(1) $\"+2%2A%28+m+-+3+%29+=+n+-+3+\"$
\n" ); document.write( "(1) $\"+2m+-+6+=+n+-+3+\"$
\n" ); document.write( "(1) $\"+2m+-+n+=+3+\"$
\n" ); document.write( "--------------------------
\n" ); document.write( "Add (1) and (2)
\n" ); document.write( "(2) $\"+m+%2B+n+=+21+\"$
\n" ); document.write( "(1) $\"+2m+-+n+=+3+\"$
\n" ); document.write( " $\"+3m+=+24+\"$
\n" ); document.write( " $\"+m+=+8+\"$
\n" ); document.write( "and
\n" ); document.write( "(2) $\"+m+%2B+n+=+21+\"$
\n" ); document.write( "(2) $\"+8+%2B+n+=+21+\"$
\n" ); document.write( "(2) $\"+n+=+13+\"$
\n" ); document.write( "Matt is 8
\n" ); document.write( "Neth is 13
\n" ); document.write( "------------
\n" ); document.write( "check:
\n" ); document.write( "(1) $\"+m+-+3+=+%281%2F2%29%2A%28+n+-+3+%29+\"$
\n" ); document.write( "(1) $\"+8+-+3+=+%281%2F2%29%2A%28+13+-+3+%29+\"$
\n" ); document.write( "(1) $\"+5+=+%281%2F2%29%2A10+\"$
\n" ); document.write( "(1) $\"+10+=+10+\"$
\n" ); document.write( "OK \n" ); document.write( "

\n" );