document.write( "Question 575916: Tom is 5 times as old as Todd. In 5 years Tom's age will be 7 years less than 4 times as old as Todd. How old is Todd? \n" ); document.write( "
Algebra.Com's Answer #369662 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( "\"+a+%2B+5+\" = Tom's age in 5 yrs
\n" ); document.write( "\"+b+%2B+5+\" = Todd's age in 5 yrs
\n" ); document.write( "given:
\n" ); document.write( "(1) \"+a+=+5b+\"
\n" ); document.write( "(2) \"+a+%2B+5+=+4%2A%28+b+%2B+5+%29+-+7+\"
\n" ); document.write( "------------------------
\n" ); document.write( "Substitute (1) into (2)
\n" ); document.write( "(2) \"+5b+%2B+5+=+4%2A%28+b+%2B+5+%29+-+7+\"
\n" ); document.write( "(2) \"+5b+%2B+5+=+4b+%2B+20+-+7+\"
\n" ); document.write( "(2) \"+b+=+20+-+7+-5+\"
\n" ); document.write( "(2) \"+b+=+8+\"
\n" ); document.write( "and, since
\n" ); document.write( "(1) \"+a+=+5b+\"
\n" ); document.write( "(1) \"+a+=+5%2A8+\"
\n" ); document.write( "(10 \"+a+=+40+\"
\n" ); document.write( "Tom is 40 and Todd is 8
\n" ); document.write( "check:
\n" ); document.write( "In 5 yrs, Tom will be be 45 and Todd
\n" ); document.write( "will be 13 and 4 times Todd's age will be 52
\n" ); document.write( "\"+45+=+52+-+7+\"
\n" ); document.write( "\"+45+=+45+\"
\n" ); document.write( "OK
\n" ); document.write( "
\n" );