Question
The sum of two numbers is 96 and their HCF is 12. Total
number of such pairs is?  ÂSolution
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.Â
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