The product of two consecutive positive integers is 240. Which pair of integers is correct?

Correct answer: 15 and 16

Let the smaller integer be \(x\). Then the other integer is \(x+1\). Thus, \(x(x+1)=240\), or \(x^2+x-240=0\). Factoring gives \((x-15)(x+16)=0\). Since the integers are positive, \(x=15\), so the pair is 15 and 16; indeed, \(15\times16=240\). Option A is close but \(14\times15=210\), not 240. Exam tip: For consecutive integers, represent them as \(x\) and \(x+1\) before forming the quadratic equation.