document.write( "Question 1127627: Tolu is 5years older than Daniel. Six years ago the product of their ages was 266. How many years from now will the product of their ages be 864 \n" ); document.write( "

Algebra.Com's Answer #744060 by stanbon(75887) $\"\"$ $\"About$

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Tolu is 5years older than Daniel. Six years ago the product of their ages was 266. How many years from now will the product of their ages be 864
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\n" ); document.write( "Equations:
\n" ); document.write( "T = D + 5
\n" ); document.write( "(T-6)(D-6) = 266
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\n" ); document.write( "Substitute to solve for T and D::
\n" ); document.write( "(D+5-6)(D-6) = 266
\n" ); document.write( "(D-1)(D-6) = 266
\n" ); document.write( "Solve::
\n" ); document.write( "D^2-7D+6 = 266
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\n" ); document.write( "D^2-7D- 260 = 0
\n" ); document.write( "(D-20)(D+7) = 0
\n" ); document.write( "Positive solution::
\n" ); document.write( "D = 20 yrs
\n" ); document.write( "So, Tolu is 25 yrs
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\n" ); document.write( "Final Equation:
\n" ); document.write( "(20+x)(25+x) = 864
\n" ); document.write( "x^2 + 45x + 500 = 864
\n" ); document.write( "x^2 + 45x - 364 = 0
\n" ); document.write( "(x-7)(x+52) = 0
\n" ); document.write( "Answer:: 7 years
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\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H.
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