What two numbers add up to 1944?


There are infinite combinations of two numbers that add up to 1944. Here are some examples using negative numbers:

-1 + 1945 = 1944
-2 + 1946 = 1944
-3 + 1947 = 1944
...

Here are some examples using two fractions that will add up to 1944:

1944/2 + 1944/2 = 1944
3888/3 + 1944/3 = 1944
5832/4 + 1944/4 = 1944
...

And here are some examples using two decimal numbers that will add up to 1944:

1.25 + 1942.75 = 1944
2.50 + 1941.5 = 1944
3.75 + 1940.25 = 1944
...

As you can see from the lists above, it can go on forever. However, when answering "What two numbers add up to 1944?", 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 1944. (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 1944?" has 972 answers:

1 + 1943 = 1944
2 + 1942 = 1944
3 + 1941 = 1944
.
.
970 + 974 = 1944
971 + 973 = 1944
972 + 972 = 1944

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 1944 by 2 and then rounded down to the nearest whole number if necessary.


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