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The HCF of two numbers is 9 and their LCM is 252. The sum of numbers is :
Question

The HCF of two numbers is 9 and their LCM is 252. The sum of numbers is :

A.

78

B.

79

C.

108

D.

99

Correct option is D


HCF=9& LCM=252
Let the numbers be 9 x and 9 y where x and y are coprime numbers.
9x×9y=252×9
x×y=28
HCF×LCM= Product of numbers Two possible values of (x,y) are (1,28),(4,7) Step-1 - For (x,y)→(1,28), Numbers are (9×1)=9,
(28×9)=252
Sum of numbers =9+252=261 step-2 For (x,y)→(4,7) Number are (9×4) and (7×9) Sum of numbers =36+63=99

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