And again, due to the fact that there room 5 "20s" in 100, climate 5 x 4 = 20 number divsible by 5.

You are watching: How many numbers between 1 and 100 (inclusive) are divisible by 4 or 9?

However, we have to subtract out the number divisible through * both* 4 and also 5 to protect against "double counting."

These would certainly be 20, 40, 60, 80 and 100.

Thus, we have 25 + 20 - 5 = 40 numbers divisible by 4 or 5 indigenous 1-100, inclusive.

CPhill May 20, 2014

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Let"s think around it in groups of 20.

Note, native 1 come 20, 5 numbers are divisible through 4.....4, 8, 12, 16, 20

And because there are 5 "20s" in 100, climate 5 X 5 = 25 number divisible by 4.

Likewise, there are 4 number divisible through 5.......5 , 10 , 15 , 20

And again, due to the fact that there room 5 "20s" in 100, then 5 x 4 = 20 number divsible through 5.

However, we have to subtract out the number divisible by * both* 4 and 5 to stop "double counting."

These would be 20, 40, 60, 80 and also 100.

Thus, we have actually 25 + 20 - 5 = 40 number divisible through 4 or 5 from 1-100, inclusive.

CPhill May 20, 2014

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