A) 30, 20
B) 50, 12
C) 15, 40
D) 24, 25
Correct Answer: D
Solution :
Let the two consecutive integers be 'x' and \[\text{546}0=\text{22}\times \text{3}\times \text{5}\times \text{7}\times \text{l3}\]. According to the problem, \[\therefore \] \[={{2}^{2}}\times {{3}^{2}}\times 5\times 7\times 11\times 13=180180\] \[\therefore \]or 24 \[H.C.F.=\frac{\text{Product of the numbers}}{L.C.M.}\] \[\text{5474}=\text{2}\times \text{7}\times \text{17}\times \text{23}\] \[\text{9775}={{\text{5}}^{\text{2}}}\times \text{17}\times \text{23}\]The required numbers are 24 and 25.
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