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If M :N = 3: B, Find the Value of (3m+2n) : (Sm+N) - ICSE Class 10 - Mathematics

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Question

If m : n = 3 : 8, find the value of (3m+2n) : (5m+n)

Solution

m : n = 3 : 8 ⇒ `"m"/"n" = 3/8`

(3m+2n) : (5m+n) = `(3"m" + 2"n")/(5"m" + "n")`

= `(3 xx "m"/"n" + 2)/(5 xx "m"/"n" + 1)`

= `(3 xx 3/8 + 2)/(5 xx 3/8 + 1)`

= `(9/8 + 2)/(15/8 + 1)`

= `25/23` = 25 : 23

(3m+2n) : (5m+n) = 25 : 23

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APPEARS IN

 Frank Solution for Frank Class 10 Mathematics Part 2 (2016 to Current)
Chapter 9: Ratio and Proportion
Exercise 9.1 | Q: 3

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Solution If M :N = 3: B, Find the Value of (3m+2n) : (Sm+N) Concept: Ratio and Proportion Example.
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