Question

    The sum of two numbers is 65 and their HCF is 13. Total number of such pairs of numbers is?     

    A 2 Correct Answer Incorrect Answer
    B 3 Correct Answer Incorrect Answer
    C 1 Correct Answer Incorrect Answer
    D 4 Correct Answer Incorrect Answer

    Solution

    As HCF is 13 so let numbers be 13x & 13y. It means x & y must be co-prime. Now 13x+ 13y = 65, So x + y = 5. Now pairs of (x , y) can be (1,4) , (2,3) and all are co-prime so number of pairs are 2.  

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