A) 24 : 36 : 63
B) 30 : 36 : 63
C) 10 : 36 : 15
D) 20 : 55 : 35
Correct Answer: A
Solution :
If \[\frac{a}{b}=\frac{6}{9}=\frac{2}{3}\] \[\frac{b}{c}=\frac{4}{7}\] Now, \[\frac{a}{b}=\frac{2}{3}\times \frac{4}{4}=\frac{8}{12}\] \[\frac{b}{c}=\frac{4}{7}\times \frac{3}{3}=\frac{12}{21}\] Hence, \[a:b:c=8:12:21\] \[=8\times 3:12\times 3:21\times 3\] \[=24:36:63\]
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