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    A given whole number is doubled and 9 is added. If the number thus obtained is trebled, it becomes 171. If we subtract 3 from the given number, then t
    Question

    A given whole number is doubled and 9 is added. If the number thus obtained is trebled, it becomes 171. If we subtract 3 from the given number, then the resultant will be divisible by

    A.

    5

    B.

    2

    C.

    13

    D.

    7

    Correct option is D

    Given:
    Expression describing operations on an unknown number x: 3 × (2x + 9) = 171
    Formula Used:
    Linear equation in one variable.
    Solution:
    Let the original whole number be x.
    Set up the equation based on the given wording:
    3(2x + 9) = 171
    2x + 9 = 1713 \frac{171}{3}​​
    2x + 9 = 57
    2x = 57 - 9
    2x = 48
    x = 24
    The original given number is 24. We are asked to subtract 3 from it.
    Result = 24 - 3 = 21.
    Among the provided options (5, 2, 13, 7), 21 is exclusively divisible by 7.
    Final Answer
    So the correct answer is (d)

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