From 1, 2, 3 How many of these 49 natural numbers can be taken out to make the sum of the two numbers 50?

From 1, 2, 3 How many of these 49 natural numbers can be taken out to make the sum of the two numbers 50?


Divide the two numbers whose sum is 50 into a group
(1、49)
(2、48)
(3、47)
……
(24、26)
A total of 24 groups, the remaining one (25)
Worst case: take 25 of them, take 1 number in each group of 24
The sum of no two numbers is 50
According to the principle of drawer, if you choose one more, two numbers must come from the same group
So take at least 24 + 1 + 1 = 26 numbers