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Question 496726: please help me answer this word problem:the sum of two consecutive integers is 203. what are the integers?
Answer by bucky(2189)   (Show Source):
You can put this solution on YOUR website! Let N represent the first unknown integer. The next consecutive integer is one more than N, so it can be represented as N + 1.
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If you add these two consecutive integers the problem tells you that their sum is 203. In equation form you can write this as:
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N + N + 1 = 203
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Eliminate the +1 on the left side by adding -1 to both sides:
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N + N + 1 - 1 = 203 - 1
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On the left side the +1 and the -1 cancel each other and on the right side the 203 - 1 equals 202. Making these adjustments results in the equation becoming:
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N + N = 202
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Combine the two terms on the left side to get:
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2N = 202
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Solve for N by dividing both sides by the multiplier of N which is 2 to get:
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N = 202/2 = 101
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So N is 101 and the next consecutive integer has to be 1 more than N so it is 102.
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Check that 101 + 102 does equal 203.
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Hope this helps you to understand the problem.
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