A) 3
B) \[-\,\,4\]
C) 6
D) 8
Correct Answer: B
Solution :
Let the larger number be x. \[\therefore \] Smaller number\[=x-2\] \[\therefore \]First number \[\times \]Second number = HCF \[\times \]LCM \[x\,\,(x-2)=24\] \[\Rightarrow \] \[x-2x-24=0\] \[\Rightarrow \] \[{{x}^{2}}-6x+4x-24=0\] \[\Rightarrow \] \[x\,\,(x-6)+4\,\,(x-6)=0\] \[\Rightarrow \] \[(x-6)(x+4)=0\] \[\therefore \] \[x=6\] because \[x\ne -\,\,4\]You need to login to perform this action.
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