The LCM of two numbers is 12 times their HCF. The sum of the HCF and LCM is 403. If one of the number is 93, then the other is [SSC (10+2) 2015] |
A) 120
B) 124
C) 116
D) 112
Correct Answer: B
Solution :
Let HCF be x and LCM be 12x. |
According to the question, |
\[12x+x=403\]\[\Rightarrow \]\[x=31\] |
\[\therefore \] LCM \[12\times 31\]and HCF=31 |
Let the other number be a. |
\[\therefore \] \[93\times a=12\times 31\times 31\]\[\Rightarrow \]\[a=124\] |
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