document.write( "Question 510110: The sum of two whole numbers is 19. The product of the number is 84. What are the two numbers?\r
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Algebra.Com's Answer #341705 by oberobic(2304) $\"\"$ $\"About$

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x + y = 19
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\n" ); document.write( "x = 19-y
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\n" ); document.write( "x*y = 84
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\n" ); document.write( "x = 84/y
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\n" ); document.write( "substitute
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\n" ); document.write( "84/y + y = 19
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\n" ); document.write( "multiply both sides by 'y'
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\n" ); document.write( "84 + y^2 = 19y
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\n" ); document.write( "rearrange
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\n" ); document.write( "y^2 -19y +84 = 0
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\n" ); document.write( "factor
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\n" ); document.write( "(x-12)(x-7) = 0
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\n" ); document.write( "x = 12 or x=7
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\n" ); document.write( "which means the other number is either 7 or 12, respectively.
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\n" ); document.write( "12*7 = 84
\n" ); document.write( "12+7 = 19
\n" ); document.write( "Correct.
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\n" ); document.write( "Answer: The two numbers are 7 and 12.
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\n" ); document.write( "Done. \n" ); document.write( "

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