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Mathematics · JEE | LINEAR INEQUALITIES
हिन्दीFind all pairs of consecutive odd positive integers, both of which are larger than 10, such that their sum is less than 40.
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Correct answer · Option B
\( (11, 13), (13, 15), (15, 17), (17, 19) \)
Explanation
Let smaller be \( x \). We have \( x > 10 \) and \( x + (x+2) < 40 \implies 2x < 38 \implies x < 19 \). Thus \( 10 < x < 19 \), giving odd integers 11, 13, 15, 17 and pairs \( (11, 13), (13, 15), (15, 17), (17, 19) \).
