Question

When Belinda asked him to what pages his book was opened, he replied that the product of the facing pages was 87,912. To what pages did Theo open his textbook?

Answer 1

His book was opened at Page no.296 and Page no.297

Explanation:

Let the page number of one page be x

Page number of page facing page no. x = x+1

We are given that the product of the facing pages was 87,912.

So, x(x+1)=87912

`x^2+x=87912`

`x^2+x-87912=0`

`x^2-296x+297x-87912=0`

`x(x-296)+297(x-296)=0`

(x+297)(x-296)=0

x=296,-297

Since Page no. cannot be negative

So, x=296

x+1=296+1=297

So, his book was opened at Page no.296 and Page no.297