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12 May, 12:38

During a spring vacation, it rained on 13 days. When it rained in the morning, the afternoon was sunny. Every rainy afternoon was preceded by a sunny morning. There were 11 sunny mornings and 12 sunny afternoons. How long was the vacation?

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  1. 12 May, 14:40
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    The holiday lasted for 18 days.

    Explanation:

    Let's assume the number of days are as following:

    let the rain in the morning and lovely afternoon = X days

    Clear morning and rain in the afternoon = Y days

    No rain in the morning and in the afternoon = Z days

    Now according to the question

    Number of days with rain = X + Y = 13 days

    Number of days with clear mornings = Y + Z = 11 days

    Number of days with clear afternoons = X + Z = 12 days

    Solving above 3 equations, we get

    X = 7, Y = 6 and Z = 5

    Now total number of days on holiday = X+Y+Z = 7+6+5 = 18

    Hence, total number of days on holiday = 18 days.
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