-99
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all numbers between 1-100 that can be divided exactly by 2.
examples: 2,4,6,8,10,12,14,16,18, 20...100!
even numbers 1-100
101
Every second number is Even. So there are 50 even numbers from 1 to 100 if you include 100. If you do not include 100 in the count there are obviously 49. The wording of the question is not clear on whether 100 is to be included or not.
There are 25 such numbers.
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.