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    Question

    data-sheets-value="{"1":2,"2":"The sum of two numbers is 96 and their HCF is 24. Total number of such pairs of numbers is "}" data-sheets-userformat="{"2":4993,"3":{"1":0},"10":2,"11":4,"12":0,"15":"arial,sans,sans-serif"}">The sum of two numbers is 96 and their HCF is 24. Total number of such pairs of numbers is?
    A 1 Correct Answer Incorrect Answer
    B 2 Correct Answer Incorrect Answer
    C 3 Correct Answer Incorrect Answer
    D 4 Correct Answer Incorrect Answer

    Solution

    As HCF is 24 so let numbers be 24x & 24y. It means x & y must be co-prime. Now 24x+ 24y = 96, So x + y = 4. Now pairs of (x , y) can be (1,3) & (2,2) but (2,2) is not co-prime hence number of pairs are 1.

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