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Question
If `(2"y"+5"x")/(3"y"-5"x")=2 1/2`, find x : y
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Solution
`(2"y"+5"x")/(3"y"-5"x")=(2xx2+1)/2`
`(2"y"+5"x")/(3"y"-5"x")=5/2`
⇒ 2 × (2y + 5x) = 5 × (3y − 5x)
⇒ 4y + 10x = 15y − 25x
⇒ 35x = 11y
⇒ `"x"/"y"=11/35`
i.e. x : y = 11 : 35
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