document.write( "Question 78164: The sum of 2 consecutive odd integers is 92. find the numbers. \n" ); document.write( "
Algebra.Com's Answer #56062 by bucky(2189)\"\" \"About 
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Let x be the first odd integer. The next odd integer is two away from the first odd integer
\n" ); document.write( "because an even number appears between them.
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\n" ); document.write( "Since x is the first odd integer, then next odd integer above it is x + 2. The problem
\n" ); document.write( "then says that if you add these two integers the result is 92.
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\n" ); document.write( "In equation form this is:
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\n" ); document.write( "x + (x+2) = 92
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\n" ); document.write( "adding the x terms changes the left side to:
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\n" ); document.write( "2x + 2 = 92
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\n" ); document.write( "Eliminate the 2 on the left side by subtracting 2 from the left side. But subtracting
\n" ); document.write( "2 from the left side means you also have to subtract 2 from the right side. The result
\n" ); document.write( "of these subtractions is:
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\n" ); document.write( "2x = 90
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\n" ); document.write( "Solve for x by dividing both sides by 2 to get:
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\n" ); document.write( "x = 90/2 = 45
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\n" ); document.write( "Since 45 is the first odd number, the next odd number is 45 + 2 or 47. The answers
\n" ); document.write( "are 45 and 47.
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\n" ); document.write( "Check by adding these two odd integers and you will see that they total 92, just as
\n" ); document.write( "specified by the problem.
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\n" ); document.write( "Hope this helps you to understand how to identify odd integers as being 2 units above the
\n" ); document.write( "the preceding odd integer.
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