document.write( "Question 1100293: a man is 37 years old and his child's age is 8,how many years ago was the
\n" ); document.write( " product of their age at 69 \n" ); document.write( "
Algebra.Com's Answer #714776 by ankor@dixie-net.com(22740)\"\" \"About 
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a man is 37 years old and his child's age is 8,how many years ago was the
\n" ); document.write( " product of their age at 69
\n" ); document.write( "the way this is written will not give an integer solution. Perhaps the 69 should be 96
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\n" ); document.write( "let y = no. of years for this to be true
\n" ); document.write( "(37-y)*(8-y) = 96
\n" ); document.write( "FOIL
\n" ); document.write( "296 - 37y - 8y + y^2 = 96
\n" ); document.write( "Arrange to form a quadratic equation
\n" ); document.write( "y^2 - 45y + 296 - 96 = 0
\n" ); document.write( "y^2 - 45y + 200 = 0
\n" ); document.write( "Factors to
\n" ); document.write( "(x-40)(x-5) = 0
\n" ); document.write( "two solutions
\n" ); document.write( "x = 40, obviously not possible
\n" ); document.write( "and
\n" ); document.write( "x = 5 yrs ago the product of their ages will be 96
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\n" ); document.write( "Check; 5 yrs ago the man was 32 and the child was 3
\n" ); document.write( "3 * 32 = 96 \n" ); document.write( "
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