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