document.write( "Question 639078: The sum of two positive integers is 4 times the smaller. The positive difference of their squares is 8 times the larger. What is the product if the two integers? \n" ); document.write( "

Algebra.Com's Answer #402539 by graphmatics(170) $\"\"$ $\"About$

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Let x be the smaller of the two integers and y be the larger. We are given that:
\n" ); document.write( " $\"x%2By=4x\"$
\n" ); document.write( " $\"y%5E2-x%5E2=8y\"$
\n" ); document.write( "\n" ); document.write( "From equation one we get
\n" ); document.write( " $\"y=3x\"$ Putting this into equation two we get:
\n" ); document.write( " $\"%283x%29%5E2-x%5E2=8%283x%29\"$
\n" ); document.write( " $\"x%5E2-3x=0\"$
\n" ); document.write( "So x=3 and y=9. 5he product of these two integers is 27. \n" ); document.write( "

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