Correct Answer - Option 3 : 144
Given:
If (2x + 3) : (5x + 4) is the triplicate ratio of 3 ∶ 4.
Concept used:
Triplicate ratio of a ∶ b = a3 ∶ b3
Calculation:
Triplicate ratio of 3 ∶ 4 = 33 ∶ 43
⇒ 27 ∶ 64
According to the question,
(2x + 3)/(5x + 4) = 27/64
⇒ 64(2x + 3) = 27(5x + 4)
⇒ 128x + 192 = 135x + 108
⇒ 7x = 84
⇒ x = 12
So, square of 12 = 144
∴ The square of 12 is 144.
