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If a : B = 5:3 Find (5a - 3b)/(5xa + 3b) - Mathematics

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Question

if a : b = 5:3 find `(5a - 3b)/(5a + 3b)`

Solution

a :  b = 5 : 3

`=> a/b = 5/3`

`(5a - 3a)/(5a + 3b) = (5(a/b) - 3)/(5(a/b) = 3)`  (Dividing each term by 3)

`= (5(5/3) - 3)/(5(5/3) +{ 3)`

`= (25/3 - 3)/(25/3 + 3)`

`= (25 - 9)/(25 + 9)`

`= 16/34 = 8/17`

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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: 1 | Page no. 87
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If a : B = 5:3 Find (5a - 3b)/(5xa + 3b) Concept: Ratios.
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