document.write( "Question 543101: The sum of two consecutive integers is 86. Find them using a variable. \n" ); document.write( "

Algebra.Com's Answer #354748 by solver91311(24713) $\"\"$ $\"About$

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\n" ); document.write( "\n" ); document.write( "You state that \"the sum of two consecutive integers is 86.\" That is an untrue statement. It is impossible. If you have two consecutive integers, then one of them is even and the other is odd. But the sum of an odd number and an even number is an odd number whereas 86 is an even number.\r
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\n" ); document.write( "\n" ); document.write( "The

th even integer is

for all integers

and the

th odd number is

for all integers

. Their sum is:\r
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\n" ); document.write( "\n" ); document.write( "But\r
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\n" ); document.write( "\n" ); document.write( "which is not an integer, hence the sum

is odd by definition.\r
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\n" ); document.write( "\n" ); document.write( "John
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\n" ); document.write( "My calculator said it, I believe it, that settles it
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$\"The$

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