Consider three positive integers N, x, and y such that N equals the sum of x and y, with the constraints 3 < x < 11 and 15 < y < 24. Given that N exceeds 27, how many distinct integer values can N take?

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Official Explanation

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To determine the possible values of N, we first calculate the minimum and maximum values of x and y. The minimum value of x + y is (minimum x + minimum y) = 4 + 16 = 28. The…

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Comments

SaiMar 17, 2025

thanks!

What this question tests

What it tests

Your ability to solve and combine linear inequalities and reason about ranges of values.

Common trap

Failing to flip the inequality sign when multiplying or dividing by a negative, or missing an inclusive/exclusive endpoint.