Question

What is the sum of all integers which are not divisible by 5 or 9 between 1 and 100?​

Answer 1

The sum of all integers which are not divisible by 5 or 9 between 1 and 100 is 3541.

To determine what is the sum of all integers which are not divisible by 5 or 9 between 1 and 100, the following calculation must be performed:

• 1 + 2 + 3 + .... + 100 = 5050
• (5050 - 9 - 18 - 27 - 36 - 45 - 54 - 63 - 72 - 81 - 90 - 99 - 5 - 10 - 15 - 20 - 25 - 30 - 35 - 40 - 50 - 55 - 60 - 65 - 70 - 75 - 80 - 85 - 95 - 100) = X
• 3541 = X

Therefore, the sum of all integers which are not divisible by 5 or 9 between 1 and 100 is 3541.

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