Question

A textbook is opened and the product of the page numbers of the pages is 6162. What are the numbers of the pages?

Answer 1

Answer:

The two page numbers are 78 and 79.

Step-by-step explanation:

Let's take the page numbers are x and x + 1 .

The produce of the page numbers is 6162

so, x(x + 1) = 6162

$x^{2} + x -6162 = 0$

Here we have to use the quadratic formula to solve for x.

The quadratic formula, x = $\frac{-b +/- \sqrt{b^2 - 4ac} }{2a}$

Here a =1, b = 1 and c = -6162

Plugging in the value of a, b and c in the above formula, we get

x = [-1 ± 157] ÷ 2

Let's take the positive value alone since the page number cannot be negative.

x = [-1 + 157] ÷2

x = 78

The next page number x + 1 = 78 + 1 = 79

Therefore,  the two page numbers are 78 and 79.