What two numbers add up to 4174?

There are infinite combinations of two numbers that add up to 4174. Here are some examples using negative numbers:

-1 + 4175 = 4174
-2 + 4176 = 4174
-3 + 4177 = 4174
...

Here are some examples using two fractions that will add up to 4174:

4174/2 + 4174/2 = 4174
8348/3 + 4174/3 = 4174
12522/4 + 4174/4 = 4174
...

And here are some examples using two decimal numbers that will add up to 4174:

1.25 + 4172.75 = 4174
2.50 + 4171.5 = 4174
3.75 + 4170.25 = 4174
...

As you can see from the lists above, it can go on forever. However, when answering "What two numbers add up to 4174?", it may be more interesting to set some criteria to limit the result. We will set the follow criteria:

1) Only positive whole numbers can add up to 4174. (0 is not a positive or negative number and should not be included.)

2) Since a+b=29 is the same as b+a=29, we should only list it once.

Now, the answer to "What two numbers add up to 4174?" has 2087 answers:

1 + 4173 = 4174
2 + 4172 = 4174
3 + 4171 = 4174
.
.
2085 + 2089 = 4174
2086 + 2088 = 4174
2087 + 2087 = 4174

We have truncated the list above due to space, but you may be interested to know that we calculated the number of answers by dividing 4174 by 2 and then rounded down to the nearest whole number if necessary.

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What two numbers add up to 4175?
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