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

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Question

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

Sum
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Solution

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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Chapter 7: Ratio and Proportion (Including Properties and Uses) - Exercise 7 (D) [Page 103]

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Selina Concise Mathematics [English] Class 10 ICSE
Chapter 7 Ratio and Proportion (Including Properties and Uses)
Exercise 7 (D) | Q 17.(i) | Page 103
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