Question 107

The product of two successive numbers is 4032. Which is the greater of the two numbers ?

Solution

Let the two successive numbers = $$x , (x + 1)$$

Product = $$x \times (x + 1) = 4032$$

=> $$x^2 + x - 4032 = 0$$

=> $$x^2 + 64x - 63x - 4032 = 0$$

=> $$(x - 63) (x + 64) = 0$$

=> $$x = 63$$

$$\therefore$$ Larger number = $$x + 1 = 63 + 1 = 64$$

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