Question

    The sum of two numbers is 96 and their HCF is 12. Total

    number of such pairs 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 12 so let numbers be 12x & 12y .It means x & y must be co-prime. Now 12x+ 12y = 96, So x + y = 8. Now pairs of (x , y) can be (1,7) , (2,6) , (3, 5) & (4,4) but (2,6) & (4,4) are not co-primes hence number of pairs is 2. 

    Practice Next