Question

one i read 3 novels with the first having 120 more pages than the second and the second having 75 fewer pages than the third. i read 1005 pages. how many pages in each novel?

Answer 1

Explanation:

So it's basically an extra special complicated addition problem. Let's take it step by step.

We'll call the books book A, B and C. Well we know Book A has 120 more pages than book B, so if we say book B has x pages, then book A has x +120 pages.

Then we know that x is 75 less than the third, so we can say book C has x + 75 pages. So in order the number of pages each book has are

A = x + 120

B = x

C = x + 75

We also know A + B + C = 1005. Can you handle it from there? Or is there anything you don't understand?

Answer 2

The first has 390 pages, the second 270 and the third 345 pages

Explanation:

The question may be expressed as an equation in terms of the number of pages in the first book read.

Let the number of pages in the first be h

if the first has 120 more pages than the second then the second has

= h - 120 pages

and the second having 75 fewer pages than the third, then the third has

= h - 120 + 75 pages

Hence the total number of pages in the 3 books

= h + h - 120 + h -120 + 75

= 3h - 165

3h - 165 = 1005

3h = 165 + 1005

3h = 1170

h = 390

the second has

= 390 - 120

=270 pages

and the 3rd

= 270 + 75

= 345