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If A: B = 4: 7, Find the Following: - ICSE Class 10 - Mathematics

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Question

If a: b = 4: 7, find the following: 

`(5"a" - 4"b")/(2"a" - 3"b")`

Solution

a : b = 4 : 7 ⇒ `"a"/"b" = 4/7`

`(5"a" - 4"b")/(2"a" - 3"b") = (5 xx "a"/"b" - 4)/(2 xx "a"/"b" - 3)`

= `(5 xx 4/7 - 4)/(2 xx 4/7 - 3)`

= `(20/7 - 4)/(8/7 -3)`

= `(-8)/-13 = 8/13`

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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: 2.3

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Solution If A: B = 4: 7, Find the Following: Concept: Ratio and Proportion Example.
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