If (3a + 2b) : (5a + 3b) = 18 : 29. Find a : b
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Solution
`(3a +2b)/(5a +3b) = 18/29`
⇒ 29(3a + 2b) = 18(5a + 3b)
⇒ 87a + 58b = 90a + 54b
⇒ 58b - 54b = 90a - 87a
⇒ 4b = 3a
`⇒ a/b = 4/3`
Concept: Concept of Ratio
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