The product of two consecutive natural numbers is 702. The greater of the two numbers is:
The product of two consecutive natural numbers is 702. The greater of the two numbers is:
दो क्रमागत प्राकृत संख्याओं का गुणनफल 702 है। दोनों संख्याओं में से बड़ी संख्या क्या है?
Detailed Solution & Logic
Correct Answer:
27
Solution:
Let the two consecutive natural numbers be:
$ x $ and $ x + 1 $
Given:
$ x(x + 1) = 702 $
Solve:
$ x^2 + x - 702 = 0 $
Factorizing:
$ (x - 26)(x + 27) = 0 $
So,
$ x = 26 $ (natural number)
Greater number = $ x + 1 = 27 $
Final Answer: 27
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