5 houses in a row are numbered consecutively.. If total of their house numbers is 405, find the greatest house number.. A)105 B)83

5 houses in a row are numbered consecutively.. If total of their house numbers is 405, find the greatest house number.. A)105 B)83 C)205 D)73

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  1. Answer :-

    Let the numbers of houses be x , x + 1 , x + 2 , x + 3 and x + 4

    According to the question :-

    → Total of their house numbers = 405

    → x + x + 1 + x + 2 + x + 3 + x + 4 = 405

    → x + x + x + x + x + 1 + 2 + 3 + 4 = 405

    → 5x + 10 = 405

    → 5x = 405 – 10

    → 5x = 395

    → x = 395 / 5

    → x = 79

    House numbers :-

    • x = 79
    • x + 1 = 79 + 1 = 80
    • x + 2 = 79 + 2 = 81
    • x + 3 = 79 + 3 = 82
    • x + 4 = 79 + 4 = 83

    Greatest house number = 83

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