Find all pairs of consecutive odd natural numbers, both of …

Maths Inequations & Inequalities Algebraic Solutions of Linear Inequalities in One Variable and their Graphical Representation Single Correct MCQ

Published by: CGP EDU Academic Team

Published on: August 14, 2026

Find all pairs of consecutive odd natural numbers, both of which are larger than 10 , such that their sum is less than 40.

Text Solution

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The correct answer is:

Let be the smaller of the two consecutive odd natural numbers, so that the other one is . Then, we should have

and

i.e.,

From (i) and (ii), we get

Since is an odd number, can take the values , and 17. So, the required possible pairs will be

and .

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