If A : B = 2 : 3 and B : C = 4 : 5, then A : B : C = ?

by

A. 9:10:12
B. 8:12:15
C. 9:13:17
D. 9:17:19

🧠 Explanation (Math):

Given: A:B = 2:3 and B:C = 4:5; find A:B:C
Step 1: Match B by LCM(3,4) = 12 ⇒ scale A:B by 4 → 8:12; scale B:C by 3 → 12:15
Step 2: Combine to A:B:C = 8:12:15
Final Answer: 8:12:15