Question 145

If the product of two successive positive integers is 7482, which is the greater integer ?

Solution

Let the two successive positive integers be $$(x)$$ & $$(x + 1)$$

Acc to ques,

=> $$(x) \times (x + 1) = 7482$$

=> $$x^2 + x - 7482 = 0$$

=> $$x = \frac{-1 \pm \sqrt{(1^2) - (4 \times 1 \times -7482)}}{2}$$

=> $$x = \frac{-1 \pm \sqrt{29929}}{2}$$

=> $$x = \frac{-1 \pm 173}{2}$$

=> $$x = 86 , -87$$

Since the numbers are positive, => $$x = 86$$

$$\therefore$$ Greater number = 86 + 1 = 87

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