document.write( "Question 80634This question is from textbook
\n" ); document.write( ": I'm having trouble solving this word problem. The product of 2 positive integers is 30. Find the integers if the larger is 4 less than twice the smaller. We need to represent the variable(s), write the equation, and solve the equation. I believe the 2 positive integers are 5 and 6, but i don't know how to write the equation to be able to solve it. Thank you,
\n" ); document.write( " Jennie \n" ); document.write( "
Algebra.Com's Answer #57813 by ankor@dixie-net.com(22740)\"\" \"About 
You can put this solution on YOUR website!
:
\n" ); document.write( "Just write an equation for what it says:
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\n" ); document.write( "\"The product of 2 positive integers is 30.\"
\n" ); document.write( " x * y = 30
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\n" ); document.write( "\"Find the integers if the larger is 4 less than twice the smaller.\"
\n" ); document.write( "Let x be the larger:
\n" ); document.write( " x = 2y - 4
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\n" ); document.write( "Substitute (2y-x) for x in the 1st equation:
\n" ); document.write( "(2y-4) * y = 30
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\n" ); document.write( "2y^2 - 4y = 30
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\n" ); document.write( "2y^2 - 4y - 30 = 0; now a quadratic equation
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\n" ); document.write( "y^2 - 2y - 15 = 0; simplified, divided eq by 2
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\n" ); document.write( "(y - 5)(y + 3) = 0; easily factored
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\n" ); document.write( "y = +5; it said the positive integer
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\n" ); document.write( "Using the 1st equation find x;
\n" ); document.write( "5x = 30
\n" ); document.write( "x = 30/5
\n" ); document.write( "x = 6, just like you said
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\n" ); document.write( "Check it in the 2nd equation:
\n" ); document.write( "6 = 2(5) - 4\r
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