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    Question

    Three numbers β€˜P’, β€˜Q’ and β€˜R’ are such

    that β€˜P’ is one-third of β€˜Q’ and β€˜R’ is equal to the average of β€˜P’ and β€˜Q’. If the sum of these three numbers is 480, then find the value of the largest number.
    A 120 Correct Answer Incorrect Answer
    B 240 Correct Answer Incorrect Answer
    C 180 Correct Answer Incorrect Answer
    D 160 Correct Answer Incorrect Answer

    Solution

    Let the value of β€˜Q’ be β€˜3x’ So, value of β€˜P’ = 3x/3 = β€˜x’ So, value of β€˜R’ = (3x + x)/2 = 4x/2 = β€˜2x’ ATQ; x + 3x + 2x = 480 Or, 6x = 480 Or, x = 80 So, the largest number = β€˜Q’ = 3x = 3 Γ— 80 = 240

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