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