Math, asked by pandagotskills, 10 months ago

Find the sum of all positive integers less than 100, which:
are not divisible by 3.

Answer Please

Answers

Answered by avaiiwonderrwomanii
0

First , let us say all positive integers would be ranging from 1 to 99 since we are asked less than 100.

so their average : 1+99 / 2 = 50

since there are 99 numbers in total , their sum would be 50 × 99 = 4950

the sum of all numbers from 1 to 99 is 4950

Now , considering the multiples of three that are

ranging from 3 to 99 , average is 3+99/2 = 51

and there are 33 such numbers that are divisible by 3 from 3 to 99

[ since 3×33 = 99 ]

now the sum of all numbers that are divisible by 3 is 51×22 = 1122

now, 4950 - 1122 = 3828

your answer is 3828 .

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Answered by milanutege7108
0

Answer:

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are not divisible by 3." and it wil give you videos of the answers! Make me brainliest! :3 (I need to level up...)

Step-by-step explanation:

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