# Greg must choose a number between 49 and 95 that is a multiple of 3, 5 and 9. Write all the numbers that he could choose. If there is more than one number, separate them with commas?

##### 1 Answer

May 1, 2018

90

#### Explanation:

We should first note that any number that is a multiple of 9 is a multiple of 3. Therefore we can focus mainly on 5 and 9.

Since we also know that the number must be a multiple of 5, the available numbers must end in 5, or 0.

This gives us the numbers:

50, 55, 60, 65, 70, 75, 80, 85, 90, and 95.

90 is the only number divisible by 9, and thus divisible by 3 also.

Our answer is 90.