The difference of squares of two consecutive odd numbers is 24. What is the sum of the two numbers?

Correct option is B

Given:
Difference of squares of two consecutive odd numbers = 24
Solution:
Let the two consecutive odd numbers be represented by algebraic variables.
​$$(x + 2)^2 - x^2 = 24$$​​
​$$x^2 + 4x + 4 - x^2 = 24$$​​
4x + 4 = 24
4x = 20
x = 5
The two consecutive odd numbers are 5 and 7.
Calculate their sum:
5 + 7 = 12
Final Answer
So the correct answer is (b)