## Task 3 - 050723

Compare the sum of all three-digit natural numbers divisible by 4 with the sum of all three-digit even natural numbers not divisible by 4!

a) Which of the two sums is greater?

b) What is the difference between the two sums in absolute value?
One compares the first two summands (100 and 102), the second two summands (104 and 106), etc., up to the last two summands (996 and 998). In each of these pairs, the first number is 2 less than the second.

a) The sum of the three-digit even numbers not divisible by 4 is therefore greater than the sum of the three-digit numbers divisible by 4.

b) There are 225 such pairs; the difference between the considered sums is thus 450 in absolute value.