(Q24).An algebra textbook has a total of 1382 pages. It is broken up into two parts. The second part of the book has 64 pages more than the first part. How many pages are in each part of the book?

Let the first part of the book contains x pages

and the second part of the book contains y pages

By problem,

x + y = ….. (1)

y = x + ⇒ x – y = - …… (2)

Solving equations (1) and (2) we get

x + y =

x - y = -

x =
∴ x =
=

Substituting x = in equation (1) we get

+ y = 1382

⇒ y = 1382 – =

∴ The number of pages in the first part =

Second part =