Question

    The average of 8 numbers is 22. When two new numbers 'p'

    and 'q' are added, the average increases by 3. If p - q = 10, find the value of q.
    A 55 Correct Answer Incorrect Answer
    B 45 Correct Answer Incorrect Answer
    C 32 Correct Answer Incorrect Answer
    D 25 Correct Answer Incorrect Answer
    E None of these Correct Answer Incorrect Answer

    Solution

    ATQ, Sum of 8 numbers = 8×22=176 Sum of 10 numbers = 10×25=250 So, p+q=250−176=74 ----------(i) And, p−q=10 -----------(ii) Solving (i) and (ii), we get: p+q = 74 p − q = 10 Adding these equations: 2p = 84 p = 42 Substituting p =42 into equation (i): 42+q = 74 q = 32

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