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# All possible sums of the integers x and y pair?

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All possible sums of the integers x and y pair? [#permalink]  18 Oct 2017, 21:24
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x+y=200
all possible sums of the integers x and y pair?
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Joined: 20 May 2014
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Re: All possible sums of the integers x and y pair? [#permalink]  18 Oct 2017, 22:42
san wrote:
x+y=200
all possible sums of the integers x and y pair?

This is Quantitative Comparison Questions forum, so the question should have Quantity A and Quantity B to compare. Please edit your post. Thank you.
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Joined: 07 Jun 2014
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GRE 1: Q167 V156
WE: Business Development (Energy and Utilities)
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Re: All possible sums of the integers x and y pair? [#permalink]  19 Oct 2017, 02:47
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san wrote:
x+y=200
all possible sums of the integers x and y pair?

If mentioned that x and y are positive.
For positive integers
x=1 y=199 sum =200
x=2 y=198 sum =200
..
..
..

x=200 y=0 sum =200

Sum of all positive integers is = $$200 \times 200$$

If x and y are not mentioned to be positive then the sum is infinite. because we can rewirte the pairs

x= -Infinity y = 200 + Infinity sum=200
..
..
x=-2 y=202 sum =200
x=-1 y=201 sum =200
x=0 y=200 sum =200
x=1 y=199 sum =200
x=2 y=198 sum =200
..
..
..

x=200 y=0 sum =200

Sum of all integers is = $$Infinity \times 200$$
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Sandy
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Re: All possible sums of the integers x and y pair?   [#permalink] 19 Oct 2017, 02:47
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