document.write( "Question 149108: Bob is half as old as Tom.\r
\n" ); document.write( "\n" ); document.write( "One year ago Bob age was two fifths of what Tom's age will be a year from now.\r
\n" ); document.write( "\n" ); document.write( "Can you figure out Bob's age and Tom's age. \n" ); document.write( "

Algebra.Com's Answer #109382 by josmiceli(19441) $\"\"$ $\"About$

You can put this solution on YOUR website!
Let $\"B\"$ = Bob's age now
\n" ); document.write( "Let $\"T\"$ = Tom's age now
\n" ); document.write( " $\"B+=+%281%2F2%29%2AT\"$
\n" ); document.write( " $\"B+-+1\"$ = Bob's age 1 year ago
\n" ); document.write( " $\"T+%2B+1\"$ = Tom's age 1 year from now
\n" ); document.write( " $\"B+-+1+=+%282%2F5%29%2A%28T+%2B+1%29\"$
\n" ); document.write( " $\"5%2A%28B+-+1%29+=+2%2A%28T+%2B+1%29\"$
\n" ); document.write( " $\"5B+-+5+=+2T+%2B+2\"$
\n" ); document.write( " $\"5B+=+2T+%2B+7\"$
\n" ); document.write( "Since
\n" ); document.write( " $\"B+=+%281%2F2%29%2AT\"$
\n" ); document.write( " $\"%285%2F2%29%2AT+=+2T+%2B+7\"$
\n" ); document.write( " $\"5T+=+4T+%2B+14\"$
\n" ); document.write( " $\"T+=+14\"$
\n" ); document.write( " $\"B+=+%281%2F2%29%2A14\"$
\n" ); document.write( " $\"B+=+7\"$
\n" ); document.write( "Bob's age is 7 and Tom's age is 14
\n" ); document.write( "check:
\n" ); document.write( " $\"B+-+1+=+%282%2F5%29%2A%28T+%2B+1%29\"$
\n" ); document.write( " $\"7+-+1+=+%282%2F5%29%2A%2814+%2B+1%29\"$
\n" ); document.write( " $\"6+=+%282%2F5%29%2A15\"$
\n" ); document.write( " $\"30+=+30\"$
\n" ); document.write( "OK \n" ); document.write( "

\n" );