Share
Notifications

View all notifications
Books Shortlist
Your shortlist is empty

# If a : B = C : D, Prove That: Xa + Yb : Xc + Yd = B : D. - ICSE Class 10 - Mathematics

Login
Create free account

Forgot password?
ConceptComponendo and Dividendo Properties

#### Question

If a : b = c : d, prove that: xa + yb : xc + yd = b : d.

#### Solution

Given a/b = c/d

=> (xa)/(yb) = (xc)/(yd)  (Multiplying each side by x/y)

=> (xa = yb)/(yb) = (xc + yd)/(yd) (By componendo)

=> (xa + yb)/(xc + yd) = (yb)/(yd)

=> (xa + yb)/(xc + yd) = b/d

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: 1.3

#### Video TutorialsVIEW ALL [1]

Solution If a : B = C : D, Prove That: Xa + Yb : Xc + Yd = B : D. Concept: Componendo and Dividendo Properties.
S