101k views
4 votes
What is the sum of the integers less than 100 that have both 6 and 9 as divisors?

1 Answer

2 votes

Answer: 270

Explanation:

First, list all the numbers that both 6 and 9 can divide that are under 100. You do this by listing the multiples of both numbers under 100.

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

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

From the above, the numbers that can be divided by both are; 18, 36, 54, 72 and 90

Adding these numbers up will give;

= 18 + 36 + 54 + 72 + 90

= 270

User Pasine
by
4.9k points