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If the ratio between 8 and 11 is the same as the ratio of 2x – y to x + 2y, find the value of 7x9y. - Mathematics

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प्रश्न

If the ratio between 8 and 11 is the same as the ratio of 2x – y to x + 2y, find the value of `(7x)/(9y)`.

योग

उत्तर

`(2x - y)/(x + 2y) = 8/11`

22x – 11y = 8x + 16y

14x = 27y

Given,`x/y = 27/14`

∴ `(7x)/(9y) = (7 xx 27)/(9 xx 14) = 3/2`

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