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If (3a + 2b) : (5a + 3b) = 18 : 29. Find a : B - Mathematics

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`

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