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If 5x + 6y : 8x + 5y = 8 : 9, find x : y. - Mathematics

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प्रश्न

If 5x + 6y : 8x + 5y = 8 : 9, find x : y.

योग
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उत्तर

5x + 6y : 8x + 5y = 8 : 9

`(5x + 6y)/(8x + 5y) = 8/9`

9(5x + 6y) = 8(8x + 5y)

45x + 54y = 64x + 40y

64x – 45x = 54y – 40y

19x = 14y

`x/y = 14/19`

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