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If a : b = 3 : 8, find the value of 4a+3b6a-b. - Mathematics

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प्रश्न

If a : b = 3 : 8, find the value of `(4a + 3b)/(6a - b)`.

योग
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उत्तर

Given, a : b = 3 : 8

`=> a/b = 3/8`

`(4a + 3b)/(6a - b) = (4(a/b) + 3)/(6(a/b) - 1)`  ...(Dividing each term by b)

= `(4(3/8) + 3)/(6(3/8) - 1)`

= `(3/2 + 3)/(9/4 - 1)`

= `(9/2)/(5/4)`

= `18/5`

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