document.write( "Question 857169: jill is 8 years older than matt. the product of their ages is 65. what are their ages
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Algebra.Com's Answer #516418 by DrBeeee(684)\"\" \"About 
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Let j = jill's age
\n" ); document.write( "Let m = Matt's age
\n" ); document.write( "The problem statement has
\n" ); document.write( "(1) j = m + 8 and
\n" ); document.write( "(2) j*m = 65
\n" ); document.write( "Put (1) into (2) and get
\n" ); document.write( "(3) (m+8)*m = 65 or
\n" ); document.write( "(4) m^2 + 8m -65 = 0 which factors to
\n" ); document.write( "(5) (m+13)*(m-5) = 0
\n" ); document.write( "Set each factor equal to zero and solve for m gives us
\n" ); document.write( "(6) m = (-13,5)
\n" ); document.write( "Since Matt cant be negative age we have
\n" ); document.write( "(7) m = 5
\n" ); document.write( "Then from (1) we get
\n" ); document.write( "(8) j = 5 + 8 or
\n" ); document.write( "(9) j = 13
\n" ); document.write( "Let's check this with (3).
\n" ); document.write( "Is ((8+5)*5 = 65)?
\n" ); document.write( "Is (13*5 = 65)?
\n" ); document.write( "Is (65 = 65)? Yes
\n" ); document.write( "Answer: Jill is 13 and Matt is 5.
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