Who proved this statement using deductive reasoning? If a, b, and c are consecutive positive numbers, then a+b+c is divisible by 3.*

CARL: Take 4, 5, and 6. 4 + 5 + 6 = 15 which is divisible by 3. So it's true. LAYLA: If we have n, n+1, and n+2, and add them together we have n+n+1+n+2=3n + 3 = 3(n+1), which is divisible by 3.

Carl has illustrated the concept, while Layla has actually proven it.

In this case, both Carl and Layla have proved the statement using deductive reasoning.

Carl provided a specific example by taking the consecutive positive numbers 4, 5, and 6. He showed that when you add them together, 4 + 5 + 6 = 15, which is divisible by 3. This example verifies the statement to be true.

Layla, on the other hand, used a more general approach. She considered any consecutive positive numbers n, n+1, and n+2. By adding them together, n + n + 1 + n + 2 = 3n + 3 = 3(n+1). Since the result is a multiple of 3 (3 multiplied by some integer n+1), she concluded that the sum is always divisible by 3.

So, Carl and Layla both used different methods of deductive reasoning to prove the statement, but they both arrived at the same conclusion that the sum of consecutive positive numbers is always divisible by 3.