Question

If $a : b = 2 : 3$, $b : c = 4 : 5$, then find $a : b : c$.

• A. 8 : 12 : 15
• B. 15 : 12 : 8
• C. 2 : 5 : 15
• D. 24 : 12 : 8

Hint:

To combine ratios, make the common terms (like \(b\)) the same by multiplying each ratio by appropriate factors.

Answer 1

The Correct Option is A

We are given that \(a : b = 2 : 3\) and \(b : c = 4 : 5\). 
To combine these ratios, we need to make the value of \(b\) the same in both ratios. 
- Multiply the first ratio by 4 to get \(8 : 12\). 
- The second ratio is \(4 : 5\), so it becomes \(12 : 15\) after making \(b = 12\). 
Thus, the combined ratio is \(a : b : c = 8 : 12 : 15\). 
Therefore, the correct answer is (A) 8 : 12 : 15.