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Given `A/B = C/D` Prove that (3a - 5b)/(3a + 5b) = (3c - 5d)/(3c + 5d) - Mathematics

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Question

Given `a/b = c/d` prove that `(3a - 5b)/(3a + 5b) = (3c - 5d)/(3c + 5d)`

Solution

`a/b = c/d`

`(3a)/(5b) = (3c)/(5d)`  (Multiplying each side by 3/5)

`(3a + 5b)/(3a - 5b) = (3c + 5d)/(3c - 5d)`    (By componendo and divdendo)

`(3a - 5b)/(3a  + 5b)= (3c - 5d)/(3c + 5d)` (by alternendo)

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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(C) | Q: 3 | Page no. 101

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Solution Given `A/B = C/D` Prove that (3a - 5b)/(3a + 5b) = (3c - 5d)/(3c + 5d) Concept: Componendo and Dividendo Properties.
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