Select the correct answerThe product of two consecutive even numbers is 2208.what is the greater number?Options5452564648

The problem involves finding two consecutive even numbers whose product is 2208.

Step 1: Let's denote the smaller number as 'x'. Because the numbers are consecutive even numbers, the next number would be 'x + 2'.

Step 2: According to the problem, the product of these two numbers is 2208. So, we can set up the equation: x * (x + 2) = 2208.

Step 3: This simplifies to: x^2 + 2x - 2208 = 0.

Step 4: This is a quadratic equation, and we can solve it by factoring, completing the square, or using the quadratic formula. The factored form of the equation is (x - 46)(x + 48) = 0.

Step 5: Setting each factor equal to zero gives the solutions x = 46 and x = -48.

Step 6: Since we're looking for a positive even number, we discard -48. So, the smaller number is 46.

Step 7: The greater number would be 46 + 2 = 48.

So, the correct answer is 48.