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19 June, 09:14

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?

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Answers (2)
  1. 19 June, 10:46
    0
    Step-by-step 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?
  2. 19 June, 10:52
    0
    The first has 390 pages, the second 270 and the third 345 pages

    Step-by-step 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
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