document.write( "Question 163242This question is from textbook Prentice Hall Mathematic Pre-Algebra
\n" ); document.write( ": Find two whole numbers with a sum of 15 and a product of 54. \n" ); document.write( "
Algebra.Com's Answer #120280 by joecbaseball(37)\"\" \"About 
You can put this solution on YOUR website!
Call one whole number (integer) x, and the other y
\n" ); document.write( "Then write two equations to represent what you are looking for:
\n" ); document.write( "x + y = 15
\n" ); document.write( "x X y = 54\r
\n" ); document.write( "\n" ); document.write( "Solve any one of the equations in terms of one variable, and replace that value in the other equation. I will solve for x in the first equation:
\n" ); document.write( "x = 15 - y
\n" ); document.write( "Replacing the x in the second equation, we get that:
\n" ); document.write( "(15-y)y = 54
\n" ); document.write( "Simplify the left hand side to get:
\n" ); document.write( "15y - y^2 = 54
\n" ); document.write( "Now, get the equation in terms of zero by subtracting 54 from both sides:
\n" ); document.write( "15y - y^2 – 54 = 0
\n" ); document.write( "Rearrange the terms to get in a nice form:
\n" ); document.write( "y^2 -15y + 54 = 0
\n" ); document.write( "Factor this to get:
\n" ); document.write( "(y-9)(y-6) = 0
\n" ); document.write( "Set each = 0
\n" ); document.write( "y – 9 = 0 ……. y = 9
\n" ); document.write( "y – 6 = 0 ……. y = 6
\n" ); document.write( "NOW… you have two values of y, but that is ok. The problem only asks for two whole numbers.
\n" ); document.write( "If you substitute 9 into either equation for y, you get an x value of 6,
\n" ); document.write( "AND
\n" ); document.write( "If you substitute 6 into either equation for y, you get an x value of 9,
\n" ); document.write( "Which is the same !
\n" ); document.write( "So, your answers are 9 and 6.
\n" ); document.write( "Good luck!
\n" ); document.write( "JoeC
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