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10 June, 16:44

8. A number whose fifth part is increased by 5 is equal to its fourth part diminished by 5. find the number

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  1. 10 June, 18:45
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    8. A number whose fifth part is increased by 5 is equal to its fourth part diminished by 5. find the number

    the number = X

    fifth part = X/5

    fifth part is increased by 5 = X/5 + 5

    fourth part = X/4

    fourth part diminished by 5 = X/4 - 5

    fifth part is increased by 5 is equal to its fourth part diminished by 5

    X/5 + 5 = X/4 - 5

    X/5 - X/4 = - 5 - 5

    (4X - 5X) / 20 = - 10

    - X/20 = - 10

    X = 200

    Check:

    X/5 + 5 = X/4 - 5

    200/5 + 5 = 200/4 - 5

    40 + 5 = 50 - 5

    45 = 45
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