The sum of two numbers is 96 and their HCF is 24. Total number of such pairs of numbers is?
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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