Correct Answer - Option 1 : 17 ∶ 6
Given :-
x ∶ y = 4 ∶ 3
(2x + 3y) ∶ (3x – 2y)
Calculation :-
⇒ (x/y) = (4/3)
Put the value of x and y in the given equation
According to the question:
(2x + 3y) ∶ (3x – 2y)
⇒ (2 × 4 + 3 × 3) ∶ (3 × 4 – 2 × 3)
⇒ (8 + 9) ∶ (12 – 6)
⇒ 17 ∶ 6
⇒ (2x + 3y) ∶ (3x – 2y) = 17 ∶ 6
∴ (2x + 3y) ∶ (3x – 2y) is 17 ∶ 6.