Question

The product of two consecutive positive integers is 306. Find the integers.

Answer 1

Let two consecutive numbers are x and (x + 1)

A/C to question,
product of x and (x + 1) = 306
⇒x(x + 1) = 306
⇒x² + x - 306 = 0
⇒ x² + 18x - 17x - 306 = 0
⇒x(x + 18) - 17(x + 18) = 0
⇒(x + 18)(x - 17) = 0⇒ x = 17 and -18

Hence, numbers are x = 17 and (x +1) = 18

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