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    Question

    The HCF of two 3 digit numbers is 17, and their LCM is

    1224. Calculate the difference between the two numbers.
    A 10 Correct Answer Incorrect Answer
    B 26 Correct Answer Incorrect Answer
    C 17 Correct Answer Incorrect Answer
    D 27 Correct Answer Incorrect Answer

    Solution

    ATQ,

    Let the numbers be ‘17x’ and ‘17y’ -------- {Where ‘x’ and ‘y’ should be co-prime number } ATQ, 17xy = 1224 Or, xy = 72 Only possible value of ‘x’ and ‘y’ is 8 and 9. So, the two numbers can be 136 (17 × 8) and 153 (17 × 9) Required dierence = 153 – 136 = 17

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