A) 45
B) 40
C) 30
D) 55
Correct Answer: A
Solution :
Let the numbers be a, b and c. Now, \[a:b=8:9\] \[b:c=3:4\] \[\therefore \] \[a:b:c\] \[=8\times 3:9\times 3:9\times 4\] \[=24:27:36=8:9:12\] \[\frac{a}{8}=\frac{b}{9}=\frac{c}{12}=k\] \[\Rightarrow \] \[a=8k,\] \[b=9k,\] \[c=12k\] 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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