ICSE Class 10CISCE
Share
Notifications

View all notifications
Books Shortlist
Your shortlist is empty

If a : B = C : D, Prove That: (9a + 13b) (9c – 13d) = (9c + 13d) (9a – 13b). - ICSE Class 10 - Mathematics

Login
Create free account


      Forgot password?

Question

If a : b = c : d, prove that: (9a + 13b) (9c – 13d) = (9c + 13d) (9a – 13b).

Solution

Given `a/b = c/d`

`=> (9a)/(13b) = (9c)/(13d)` (Multiplying each side by 9/13)

`=> (9a + 13b)/(13a - 13b) = (9c + 13d)/(9c - 13d)` (By componendo and divdendo)

`=> (9a + 13b)/(13a - 13b) = (9c + 13d)/(9c - 13d)` (By componendo and divdendo)

`=> (9a + 13b)(9c - 13d) = (9c + 13d)(9a - 13b)`

  Is there an error in this question or solution?

APPEARS IN

 Selina Solution for Selina ICSE Concise Mathematics for Class 10 (2018-2019) (2017 to Current)
Chapter 7: Ratio and Proportion (Including Properties and Uses)
Ex.7C | Q: 1.2

Video TutorialsVIEW ALL [1]

Solution If a : B = C : D, Prove That: (9a + 13b) (9c – 13d) = (9c + 13d) (9a – 13b). Concept: Componendo and Dividendo Properties.
S
View in app×