What two numbers add up to 1994?


There are infinite combinations of two numbers that add up to 1994. Here are some examples using negative numbers:

-1 + 1995 = 1994
-2 + 1996 = 1994
-3 + 1997 = 1994
...

Here are some examples using two fractions that will add up to 1994:

1994/2 + 1994/2 = 1994
3988/3 + 1994/3 = 1994
5982/4 + 1994/4 = 1994
...

And here are some examples using two decimal numbers that will add up to 1994:

1.25 + 1992.75 = 1994
2.50 + 1991.5 = 1994
3.75 + 1990.25 = 1994
...

As you can see from the lists above, it can go on forever. However, when answering "What two numbers add up to 1994?", 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 1994. (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 1994?" has 997 answers:

1 + 1993 = 1994
2 + 1992 = 1994
3 + 1991 = 1994
.
.
995 + 999 = 1994
996 + 998 = 1994
997 + 997 = 1994

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 1994 by 2 and then rounded down to the nearest whole number if necessary.


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What two numbers add up to 1995?
Here is the next problem on our list that we answered and explained in a similar fashion.


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