document.write( "Question 103835: Tom is 6 times as old as Todd. In 5 years Tom's age will be 1 year more than 4 times as old as Todd. How old is Tom? \n" ); document.write( "

Algebra.Com's Answer #75516 by MathLover1(20850) $\"\"$ $\"About$

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let Tom be $\"x\"$ years old, and Todd $\"y\"$ years old\r
\n" ); document.write( "\n" ); document.write( "given
\n" ); document.write( " $\"x=6y\"$
\n" ); document.write( "In $\"5\"$ years
\n" ); document.write( " $\"x=1+%2B4y\"$ \r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( " $\"x+%2B+y+%2B+5+=+1+%2B+4y+%2B+y\"$
\n" ); document.write( " $\"6y+%2B+y+=+1+%2B+5y\"$
\n" ); document.write( " $\"7y\"$ – $\"5y\"$ = $\"1\"$
\n" ); document.write( " $\"2y+\"$ = $\"1\"$
\n" ); document.write( " $\"y+=+1%2F2\"$ Todd is $\"1%2F2\"$ years old now\r
\n" ); document.write( "\n" ); document.write( " $\"x+=+6%281%2F2%29\"$
\n" ); document.write( " $\"x+=+3\"$ Tom is $\"3\"$ years old now or\r
\n" ); document.write( "\n" ); document.write( "Check:\r
\n" ); document.write( "\n" ); document.write( "In $\"5\"$ years Tom will be $\"8\"$ years old, and Todd $\"5%281%2F2%29\"$ years old, so
\n" ); document.write( "Since $\"x=1+%2B4y\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"x+=+5%2B+1%2B+4%281%2F2%29\"$
\n" ); document.write( " $\"x=+6+%2B+2\"$
\n" ); document.write( " $\"x+=+8\"$
\n" ); document.write( " \n" ); document.write( "

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