Question Detail
If A:B = 2:3, B:C = 4:5 and C:D = 6:7, then find the value of A:B:C:D
- 15:24:30:35
- 16:24:30:35
- 17:24:30:35
- 18:24:30:35
Answer: Option B
Explanation:
\begin{aligned}
A:B = 2:3 \\
B:C = 4:5 = (4*\frac{3}{4} : 5*\frac{3}{4}) \\
= 3:\frac{15}{4} \\
C:D = 6:7 = (6*\frac{15}{24} : 7*\frac{15}{24}) \\
= \frac{15}{4}:\frac{35}{8} \\
A:B:C:D = 2:3:\frac{15}{4}:\frac{35}{8} \\
= 16:24:30:35
= 8:12:9
\end{aligned}