There are 12 even numbers between 2 and 24 inclusive.
The sum is 154.
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155
The sum of the first n odd numbers is n squared. 25 x 25 = 625
The sum of the even numbers is (26 + 28 + ... + 100); The sum of the odd numbers is (25 + 27 + ... + 99) Their difference is: (26 + 28 + ... + 100) - (25 + 27 + ... + 99) = (26 - 25) + (28 - 27) + ... + (100 - 99) = 1 + 1 + ... + 1 There are (100 - 26) ÷ 2 + 1 = 38 terms above which are all 1; their sum is 38 x 1 = 38. So the difference of the sum of all even numbers and all odd numbers 25-100 is 38.
25 of them
There is no solution. You could do it if the numbers were odd: 25 and 27 are consecutive odd numbers that equal 52.