Share

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

Course

#### 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)

Is there an error in this question or solution?

#### 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

#### Video TutorialsVIEW ALL [1]

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