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    Question

    The average height of each person in group 'K' having 22

    people is 14 cm less than the average height of each person in group 'L' having 18 people. If the sum of the heights of all people in group 'K' is the same as that in group 'L', then what is the average height of a person in group 'L'?
    A 20 cm Correct Answer Incorrect Answer
    B 77 cm Correct Answer Incorrect Answer
    C 55 cm Correct Answer Incorrect Answer
    D 65 cm Correct Answer Incorrect Answer
    E None of these Correct Answer Incorrect Answer

    Solution

    ATQ, Let the average height of a person in group 'L' = 'c' cm. Then, the average height of a person in group 'K' = (c - 14) cm. Total height of all people in group 'L' = 18 ├Ч c = '18c' cm. Total height of all people in group 'K' = 22 ├Ч (c - 14) = 22c - 308 cm. So, 22c - 308 = 18c. Or, 4c = 308. So, c = 308 / 4 = 77. Required average height = 77 cm.

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