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