A) 45
B) 40
C) 30
D) 35
Correct Answer: A
Solution :
Let the numbers be a, b and c, Now, a : b = 8 : 9, b : c = 3 : 4 = 24 : 27 : 36 = 8 : 9 : 12 \[\therefore \] \[\,\frac{a}{8}=\frac{b}{9}=\frac{c}{12}=k\] \[\Rightarrow \] \[a=8k,\text{ }b=9k,\text{ }c=12k\] According to the question, \[8k\times 12k=2400\] \[\Rightarrow \] \[{{k}^{2}}=\frac{2400}{8\times 12}=25\Rightarrow k=5\] \[\therefore \]Second number\[=9k=9\times 5=45\]You need to login to perform this action.
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