Question

If (4a + 9b) (4c – 9d) = (4a – 9b) (4c + 9d), Prove that: a : b = c : d.

Answer 1

Answer:

Step-by-step explanation:

Hint: To solve this question, go through the Componendo - Dividendo Theorm

--According to Componendo - Dividendo Theorm:

$\frac{a}{b} = \frac{c}{d} \\then\\\frac{a+b}{a-b} = \frac{c+d}{c-d}$

Solution:

[$\frac{(4a + 9b)}{(4a - 9b)}  = \frac{(4c + 9d)}{(4c - 9d)}\\ \frac{4a}{9b} = \frac{4c}{9d}$

therefore a:b = c:d

Hope this helped you :)