If 3a: 2b = (6a - 3) : (3b - 2) and a = b - 1, then what will be the value of 12ab?
Solution
If 3a: 2b = (6a - 3) : (3b - 2)
$$\frac{3a}{2b}=\ \frac{(6a-3)}{(3b-2)}$$
$$\frac{a}{2b}=\ \frac{(2a-1)}{(3b-2)}$$
a(3b-2) = 2b(2a-1) 3ab-2a = 4ab-2b 2b-2a = 4ab-3ab 2b-2a = ab 2(b-a) = ab  Eq.(i) a = b - 1 b - a = 1   Eq.(ii) Put Eq.(ii) in Eq.(i). 2 = ab Value of 12ab = $$12\times2$$ = 24