Question

The product of two consecutive pages in a book is 1122. Find the page numbers.

A) 33 and 34
B) 26 and 27
C) 47 and 48
D) 54 and 55

Answer 1

• 33

Explanation:

Let us consider the two consecutive pages in a book be 'x' and 'x + 1'.

Let us set a equation to solve the question.

The equation is,

`x(x + 1) = 1122`

`x^2 + x = 1122`

`x^2 + x - 1122 = 0`

Splitting the middle term,

`x^2 - 33x + 34x - 1122 = 0`

`x (x -33) + 34(x -33) = 0`

`(x - 33)(x + 34) = 0`

`x - 33 = 0`

`x = 33`

Also,

`x + 34 = 0`

`x = -34`

Since the page numbers can't have negative value. so, x is 33.

Therefore, the required page numbers ar 33.