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Question
If (5a + 3b) : (2a – 3b) = 23 : 5, then the value of a : b is ______.
Options
1 : 2
1 : 4
2 : 1
4 : 1
MCQ
Fill in the Blanks
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Solution
If (5a + 3b) : (2a – 3b) = 23 : 5, then the value of a : b is 4 : 1.
Explanation:
Cross-multiplication gives 5(5a + 3b) = 23(2a – 3b), which simplifies to 21a = 84b.
Hence a : b = 4 : 1.
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