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If x ∶ y = 5 ∶ 4, then what is the ratio of  (2x + 3y) ∶ (3x + 2y) ?
1. 23 ∶ 22
2. 22 ∶ 23
3. 32 ∶ 23
4. 23 ∶ 32

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Correct Answer - Option 2 : 22 ∶ 23

Given :-

x ∶ y = 5 ∶ 4

(2x + 3y) ∶ (3x + 2y)

Calculation :- 

⇒ (x/y) = (5/4)

Put the value of x and y in the given equation

From question  (2x + 3y) ∶ (3x + 2y) 

⇒ (2 × 5 + 3 × 4) ∶ (3 × 5 + 2 × 4)

⇒ (10 + 12) ∶ (15 + 8)

⇒ 22 ∶ 23 

⇒ (2x + 3y) ∶ (3x + 2y) = 22 ∶ 23

∴ (2x + 3y) ∶ (3x + 2y) is 22 ∶ 23

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