If 3a : 2b = (6a - 3) : (3b - 2) and a = b - 1, then what will be the value of 12ab?
Show answer & explanation
Correct answer: B
Explanation
The correct answer is option 2 i.e. 24.
Calculations:
⇒ 3a : 2b = (6a - 3) : (3b - 2)
⇒ 3a/2b = (6a - 3)/(3b - 2)
⇒ 9ab - 6a = 12ab - 6b
⇒ 3ab = 6(b - a)
We know that b - a = 1
Hence, 3ab = 6
⇒ ab = 2
Therefore, the value of 12ab = 12 × 2 = 24