What is a 4-digit number between 5200 and 5300 that is divisible by 10 and 11?

Answer 1

A number that is divisible by both 10 and 11 must be divisible by their least common multiple, which is 110. To find a 4-digit number between 5200 and 5300 that is divisible by 110, we need to find the multiples of 110 in that range. The first multiple of 110 after 5200 is 5280, so the number you are looking for is 5280.

Answer 2

Well, isn't that a happy little math problem! To find a number that is divisible by both 10 and 11, we need to find a number that is divisible by their common multiple, which is 110. So, we look for a number between 5200 and 5300 that is divisible by 110. The number you're looking for is 5280, a delightful little number that fits all those criteria perfectly!

Answer 3

Ok think about it this way what options do you have?

5210

5220

5230

5240

5250

5260

5270

5280

5290

Which of those can be divided by 11? Only 5280.

The reason is that you know that the starting number of the range is divisible by 10 so you can continue the pattern to generate this valid list for the first number. Once you have the list you can just check to see which number is divisible by your second number.