What is the sum of the integers less than 100 that have both 6 and 9 as divisors?

The sum of the integers less than 100 that have both 6 and 9 as divisors is 270

Step-by-step explanation:

To determine the integers less than 100 that have both 6 and 9 as divisors,

First, we will list the multiples of 6 and 9 that are less than 100, and the common multiples will give the integers less than 100 that have both 6 and 9 as divisors.

Multiples of 6 less than 100 are:

6, 12, 18, 24, 30, 36, 42, 48, 54, 60, 66, 72, 78, 84, 90, and 96.

Multiples of 9 less than 100 are:

9, 18, 27, 36, 45, 54, 63, 72, 81, 90, and 99.

Hence, the integers less than 100 that have both 6 and 9 as divisors are 18, 36, 54, 72 and 90.

Then, the sum of the integers less than 100 that have both 6 and 9 as divisors is

18 + 36 + 54 + 72 + 90 = 270

Hence, the sum of the integers less than 100 that have both 6 and 9 as divisors is 270.

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step-by-step explanation:

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