document.write( "Question 448547: Tom is 3 times as old as Todd. In 2 years Tom’s age will be 6 years more than 2 times as old as Todd.
\n" ); document.write( "How old is Tom? \n" ); document.write( "

Algebra.Com's Answer #308629 by josmiceli(19441) $\"\"$ $\"About$

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Let $\"a\"$ = Tom's age now
\n" ); document.write( "Let $\"b\"$ = Todd's age now
\n" ); document.write( "given:
\n" ); document.write( "(1) $\"+a+=+3b+\"$
\n" ); document.write( "(2) $\"+a+%2B+2+=+2%2A%28b+%2B+2%29+%2B+6+\"$
\n" ); document.write( "(2) $\"+a+%2B+2+=+2b+%2B+4+%2B+6+\"$
\n" ); document.write( "(2) $\"+a+-+2b+=+8+\"$
\n" ); document.write( "By substitution:
\n" ); document.write( "(2) $\"+3b+-+2b+=+8+\"$
\n" ); document.write( " $\"+b+=+8+\"$
\n" ); document.write( "and, since
\n" ); document.write( " $\"+a+=+3b+\"$
\n" ); document.write( " $\"+a+=+24+\"$
\n" ); document.write( "Tom is 24 and Todd is 8
\n" ); document.write( "check:
\n" ); document.write( "(2) $\"+a+%2B+2+=+2%2A%28b+%2B+2%29+%2B+6+\"$
\n" ); document.write( "(2) $\"+24+%2B+2+=+2%2A%288+%2B+2%29+%2B+6+\"$
\n" ); document.write( "(2) $\"+26+=+20+%2B+6+\"$
\n" ); document.write( " $\"26+=+26\"$ OK \n" ); document.write( "

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