What is the difference between the largest prime number less than 50 and the smallest composite number greater than 10?

35

36

37

38

35

47-12=???

35

http://www.factmonster.com/math/numbers/prime.html

http://www.mathsisfun.com/definitions/composite-number.html

To determine the difference between the largest prime number less than 50 and the smallest composite number greater than 10, we need to find these numbers first.

First, let's find the largest prime number less than 50. To do this, we start with the number 49 and check if it is divisible by any numbers smaller than itself (excluding 1). We can divide 49 by 2, 3, 5, and 7, but none of these divisions result in whole numbers. So, we conclude that the largest prime number less than 50 is 47.

Now, let's find the smallest composite number greater than 10. Composite numbers are numbers that have more than two factors, meaning they are divisible by numbers other than 1 and themselves. The first composite number greater than 10 is 12, which is divisible by 2, 3, 4, and 6.

Therefore, the difference between the largest prime number less than 50 (47) and the smallest composite number greater than 10 (12) is:

47 - 12 = 35

So, the answer is 35.