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    Question

    The HCF of two numbers is 33 and their sum is 594. Find

    the total number of such possible pairs of numbers.
    A 4 Correct Answer Incorrect Answer
    B 3 Correct Answer Incorrect Answer
    C 2 Correct Answer Incorrect Answer
    D 1 Correct Answer Incorrect Answer

    Solution

    Let the two numbers be 33a and 33b (33 is the H.C.F.) 33a +33b = 594 33(a + b) = 594  a+b = 594/33 a+b=18 Now, a and b must be co-primes Pairs = (1, 17), (5, 13), and (7, 11)  Number of pairs are 3

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