The difference of squares of two consecutive odd numbers is 56. What is the sum of the two numbers?
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Correct answer: D
Explanation
Given:
The difference between the squares of two consecutive odd numbers = 56
According to the formula:
(a + 2)² − a² = 4a + 4
4a + 4 = 56
4a = 52
a = 13
The numbers = 13, 15
Sum = 13 + 15 = 28