Advertisements
Advertisements
Question
If a : b = c : d, prove that: 5a + 7b : 5a – 7b = 5c + 7d : 5c – 7d.
Sum
Advertisements
Solution
Given,
a : b = c : d
∴ `a/b = c/d`
Multiplying both sides by `5/7`
⇒ `(5a)/(7b) = (5c)/(7d)`
Applying componendo and dividendo:
⇒ `(5a + 7b)/(5a - 7b) = (5c + 7d)/(5c - 7d)`
Hence, it is proved that 5a + 7b : 5a − 7b = 5c + 7d : 5c − 7d.
shaalaa.com
Is there an error in this question or solution?
