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The difference between the squares of two consecutive number is 35. The number are?

14, 15
15, 16
17, 18
18, 19

Correct Answer: 17, 18

Explanation:

Let the two number be x and (x + 1)
Then, (x+1)² - x² = 35
⇒ 2x = 34
⇒ x = 17
So, the number are 17 and 18

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