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Jim has 100 cards there is a whole number from 1 to 100 on each card no cards have the same number jim puts a star on every card has a multiple of 3 on it he puts a circle on every card that has a multiple of 7 on it what number are on the cards that have both a star and a circle on them the final line on your answer must list only these numbers

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Answer:

3,6,9,12,15,18,21,24,27,30...

7,14,21,28,...

Step-by-step explanation:

The numbers on the cards that have both a star and a circle on them are 21, 42, 63, 96

What is LCM of two numbers?

"It is a number that is divisible by the two given numbers."

For given question,

Jim has 100 cards there is a whole number from 1 to 100 on each card.

He puts a star on every card has a multiple of 3 on it and puts a circle on every card that has a multiple of 7 on it.

We need to find the numbers on the cards that have both a star and a circle on them.

This means, we need to find the numbers which are divisible by 3 and 7.

This means, the required numbers are divisible by the LCM of 3 and 7.

The LCM of 3 and 7 is 21.

So, the required numbers are multiple of 21.

From 1 to 100, the numbers which are multiple of 21 are 21, 42, 63, 96

Therefore, the numbers on the cards that have both a star and a circle on them are 21, 42, 63, 96

Learn more about LCM of numbers here:

https://brainly.com/question/20739723

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