Question

Chang must choose a number between 49 and 95 that is a multiple of 3,6 and 9 . Write all the numbers that he could choose. If there is more than one number, separate them with commas.

Answer 1

Chang can choose the numbers 54, 72, and 90, as these are the multiples of 18 that lie between 49 and 95.

Step-by-step explanation:

Chang needs to find numbers between 49 and 95 that are multiples of 3, 6, and 9. To be a multiple of 3, 6, and 9, a number must be a multiple of the least common multiple (LCM) of these three numbers. The LCM of 3, 6, and 9 is 18, since 18 is the smallest number that all three numbers divide evenly into. We will now find all the multiples of 18 that fall between 49 and 95.

• 54
• 72
• 90

These are the numbers that Chang could choose: 54, 72, and 90.

Chang needs to choose a number between 49 and 95 that is a multiple of 3, 6, and 9. To find the numbers, we need to identify the multiples of the least common multiple (LCM) of 3, 6, and 9, which is 18. Starting from 49, we look for numbers that are divisible by 18. The numbers that meet this condition are 54, 72, and 90.