document.write( "Question 1118385: Jack is
\n" ); document.write( "2
\n" ); document.write( " times as old as Lacy.
\n" ); document.write( "8
\n" ); document.write( " years ago the sum of their ages was
\n" ); document.write( "14
\n" ); document.write( ". How old are they now? \n" ); document.write( "

Algebra.Com's Answer #733680 by josmiceli(19441) $\"\"$ $\"About$

You can put this solution on YOUR website!
Let $\"+a+\"$ = Jack's age now
\n" ); document.write( "Let $\"+b+\"$ = Lacy's age now
\n" ); document.write( "----------------------------------
\n" ); document.write( "(1) $\"+a+=+2b+\"$
\n" ); document.write( "(2) $\"+%28+a+-+8+%29+%2B+%28+b+-+8+%29+=+14+\"$
\n" ); document.write( "----------------------------------
\n" ); document.write( "(2) $\"+a+%2B+b+-+16+=+14+\"$
\n" ); document.write( "(2) $\"+a+%2B+b+=+30+\"$
\n" ); document.write( "Plug (1) into (2)
\n" ); document.write( "{2} $\"+2b+%2B+b+=+30+\"$
\n" ); document.write( "(2) $\"+3b+=+30+\"$
\n" ); document.write( "(2) $\"+b+=+10+\"$
\n" ); document.write( "and
\n" ); document.write( "(1) $\"+a+=+2b+\"$
\n" ); document.write( "(1) $\"+a+=+2%2A10+\"$
\n" ); document.write( "(1) $\"+a+=+20+\"$
\n" ); document.write( "-----------------------
\n" ); document.write( "Jack is 20
\n" ); document.write( "Lacy is 10
\n" ); document.write( "----------------
\n" ); document.write( "check:
\n" ); document.write( "(2) $\"+%28+a+-+8+%29+%2B+%28+b+-+8+%29+=+14+\"$
\n" ); document.write( "(2) $\"+%28+20+-+8+%29+%2B+%28+10+-+8+%29+=+14+\"$
\n" ); document.write( "(2) $\"+12+%2B+2+=+14+\"$
\n" ); document.write( "(2) $\"+14+=+14+\"$
\n" ); document.write( "OK
\n" ); document.write( " \n" ); document.write( "

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