51
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One way to do it is to write down all the numbers and add them up. You can do it.
Another more clever way to do it is to arrange them in pairs, like this:
1 and 50
2 and 49
...
24 and 27
25 and 26
Every pair adds up to 51, and there are 25 pairs. So all together, they add up to
51 x 25 = 1,275 .