document.write( "Question 252873: the sum of two numbers is 39. When the smaller number is doubled and the larger is increased by 3, the resulting numbers are equal. What are the numbers? \n" ); document.write( "

Algebra.Com's Answer #184972 by nerdybill(7384) $\"\"$ $\"About$

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the sum of two numbers is 39. When the smaller number is doubled and the larger is increased by 3, the resulting numbers are equal. What are the numbers?
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\n" ); document.write( "Let x = smaller number
\n" ); document.write( "and y = larger number
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\n" ); document.write( "x + y = 39
\n" ); document.write( "2x = y+3
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\n" ); document.write( "Reordering the pair of equations above:
\n" ); document.write( " x + y = 39
\n" ); document.write( "2x - y = 3
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\n" ); document.write( "Adding the two equations together:
\n" ); document.write( " x + y = 39
\n" ); document.write( "2x - y = 3
\n" ); document.write( "-----------
\n" ); document.write( "3x = 42
\n" ); document.write( "x = 14 (smaller number)
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\n" ); document.write( "Larger number:
\n" ); document.write( "x + y = 39
\n" ); document.write( "14 + y = 39
\n" ); document.write( "y = 39-14
\n" ); document.write( "y = 25 (larger number) \n" ); document.write( "

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