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

#### 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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