The difference of squares of two consecutive odd numbers is 24. What is the sum of the two numbers?
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Correct answer: B
Explanation
Given:
The difference between the squares of two consecutive odd numbers = 24
According to the formula:
(a+2)² − a² = 4a + 4
4a + 4 = 24
4a = 20
a = 5
The numbers = 5, 7
Sum = 5 + 7 = 12