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If (M + N)/(M + 3n) = 2/3find (2n^2)/(3m^2 + Mn) - Mathematics

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Question

If `(m + n)/(m + 3n) = 2/3` find  `(2n^2)/(3m^2 + mn)`

Solution

`(m + n)/(m + 3n) = 2/3`

=> 3m + 3n = 2m + 6n

=> m = 3n

`=> m/n = 3/1 `

`(2n^2)/(3m^2 + mn) = 2/(3(m/n)^2 + (m/n))` `("Dividing each term by" n^2)`

`= 2/(3(3/1)^2 + (3/1)`

`= 2/(27 + 3) = 1/15`

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APPEARS IN

 Selina Solution for Concise Mathematics for Class 10 ICSE (2020 (Latest))
Chapter 7: Ratio and Proportion (Including Properties and Uses)
Exercise 7(A) | Q: 6 | Page no. 87
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If (M + N)/(M + 3n) = 2/3find (2n^2)/(3m^2 + Mn) Concept: Ratios.
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