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

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)`.

Sum

`(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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Chapter 7: Ratio and Proportion (Including Properties and Uses) - Exercise 7 (A) [Page 87]

Chapter 7 Ratio and Proportion (Including Properties and Uses)
Exercise 7 (A) | Q 8. | Page 87

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