Consider the following statements:
Which of the above statements is/are correct?
Statement 1: Let the five consecutive integers be represented as . The sum of these integers is . If the sum is 100, then \(5x = 100\), which yields \(x = 20\). The integers are consequently 18, 19, 20, 21, 22. Therefore, the sum of 5 consecutive integers can be 100. Statement 1 is correct.
Statement 2: Consider the three consecutive natural numbers 1, 2, and 3. Their sum is calculated as \(1 + 2 + 3 = 6\). Their product is calculated as \(1 \times 2 \times 3 = 6\). Since the sum equals the product in this specific case, the product of three consecutive natural numbers can be equal to their sum. Statement 2 is correct.
As both Statement 1 and Statement 2 are correct, Option C is the correct answer.
Options A, B, and D are incorrect because both Statement 1 and Statement 2 have been demonstrated to be factually correct. Option A is incorrect as it excludes the correctness of Statement 2. Option B is incorrect as it excludes the correctness of Statement 1. Option D is incorrect as it asserts that neither statement is correct, which contradicts the derived conclusions.