document.write( "Question 1019942: The difference of squares of two consecutive even natural numbers is 60. Find the numbers. \n" ); document.write( "

Algebra.Com's Answer #635883 by ikleyn(52851) $\"\"$ $\"About$

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\n" ); document.write( "The difference of squares of two consecutive even natural numbers is 60. Find the numbers.
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\n" ); document.write( "1st:: 2x
\n" ); document.write( "2nd: 2(x+1)
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\n" ); document.write( "[2(x+1)]^2 - (2x)^2 = 60
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\n" ); document.write( "4[x^2 + 2x + 1] - 4x^2 = 60
\n" ); document.write( "4x^2 + 8x + 4 - 4x^2 = 60
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\n" ); document.write( "8x - 56 = 0
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\n" ); document.write( "x = 7\r
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\n" ); document.write( "\n" ); document.write( "First number = 2x = 14
\n" ); document.write( "Second nimber = 2x + 2 = 16
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\n" ); document.write( "Check: 16^2 - 14^2 = 256 - 196 = 60.\r
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