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Solution


Q.

If the sum of two numbers is 1215 and their HCF is 81, then the possible number of pairs of such numbers are:
1 2  
2 3  
3 4  
4 5  

Ans.

(3)

HCF = 81, let the two numbers be 81x and 81y.
According to the question,

81 x +81 y  = 1215
x + y = 1215

The gives 4 co-prime pairs (1, 14), (2, 13), (4, 11), (7, 8)