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    Question

    Three numbers β€˜L’, β€˜M’ and β€˜N’ are such

    that β€˜L’ is five times of β€˜M’ and β€˜N’ is equal to the average of β€˜L’ and β€˜M’. If the sum of these three numbers is 540, then find the difference between the largest and smallest number.
    A 180 Correct Answer Incorrect Answer
    B 240 Correct Answer Incorrect Answer
    C 120 Correct Answer Incorrect Answer
    D 300 Correct Answer Incorrect Answer

    Solution

    Let the value of β€˜M’ be β€˜2x’ So, value of β€˜L’ = 5 Γ— 2x = β€˜10x’ So, value of β€˜N’ = (10x + 2x)/2 = 12x/2 = β€˜6x’ ATQ; 10x + 2x + 6x = 540 Or, 18x = 540 Or, x = 30 So, the difference (L - M) = 10x - 2x = 8x = 8 Γ— 30 = 240

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