The product of two consecutive even numbers is 624. What is the sum of the two numbers?

Correct option is D

Given:
Product of two consecutive even numbers = 624
Solution:
Let the two consecutive even numbers be represented algebraically.
x × (x + 2) = 624
​$$x^2 + 2x = 624$$​​
​$$x^2 + 2x - 624 = 0$$​​
​$$x^2 + 26x - 24x - 624 = 0$$​​
x × (x + 26) - 24 × (x + 26) = 0
(x - 24) × (x + 26) = 0
Taking the positive root since they are typical natural even numbers:
x = 24
The two numbers are 24 and 26.
Calculate the sum of the numbers:
24 + 26 = 50
Final Answer
So the correct answer is (d)