If a, b, c are three numbers such that a : b = 3 : 4 and b : c = 8 : 9, then what is the ratio a : c?
If a, b, c are three numbers such that a : b = 3 : 4 and b : c = 8 : 9, then what is the ratio a : c?
यदि a, b, c तीन संख्याएँ इस प्रकार हैं कि a : b = 3 : 4 तथा b : c = 8 : 9, तो a : c बराबर है |
Detailed Solution & Logic
Correct Answer:
2 : 3
Given:
$a : b = 3 : 4$
$b : c = 8 : 9$
Step 1: Make b common
LCM of 4 and 8 = 8
So,
$a : b = 3:4 \times 2 = 6:8$
$b : c = 8:9$
Step 2: Combine ratios
$a : b : c = 6 : 8 : 9$
Step 3: Find a : c
$a : c = 6 : 9 = 2 : 3$
Final Answer: 2 : 3
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