Answers

2015-07-14T18:09:39+05:30
Difference of square of two consecutive numbers is equal to their sum.
So the numbers are 22 and 23.
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Procedure wise:
Let the smaller number is x.
another number = x+1

(x+1)² - x² = 45
⇒ (x² + 2x + 1) - x² = 45
⇒ 2x + 1 = 45
⇒ 2x = 45- 1 = 44
⇒ x = 44/2 = 22
x+1 = 22+1 = 23

Numbers are 22 and 23.

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