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If x ∶ y = 4 ∶ 3, then what is the ratio of  (2x + 3y) ∶ (3x – 2y)  ?
1. 17 ∶ 6
2. 11 ∶ 18
3. 10 ∶ 19
4. 17 ∶ 11

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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.

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