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If 4m+3n4m-3n=74, use properties of proportion to find m : n - Mathematics

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प्रश्न

If `(4m + 3n)/(4m - 3n) = 7/4`, use properties of proportion to find m : n

योग
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उत्तर

Given, `(4m + 3n)/(4m - 3n) = 7/4`

Applying componendo and dividendo,

`(4m + 3n + 4m - 3n)/(4m + 3n - 4m + 3n) = (7 + 4)/(7 - 4)`

`(8m)/(6n) = 11/3`

`m/n = 11/3 xx 6/8`

`m/n = 11/4`

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