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If (2x + 3y) ∶ (3x + 5y) = 18 ∶ 29, then value of x ∶ y is
1. 4 ∶ 1 
2. 4 ∶ 5
3. 3 ∶ 4
4. 3 ∶ 1

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Correct Answer - Option 3 : 3 ∶ 4

Given:

(2x + 3y) ∶ (3x + 5y) = 18 ∶ 29

Calculation:

We have to solve (2x + 3y) ∶ (3x + 5y) = 18 ∶ 29

⇒ (2x + 3y) × 29 = (3x + 5y) × 18

⇒ 58x + 87y = 54x + 90y

⇒ 4x = 3y

⇒ x/y = 3/4

∴ The value of x : y is 3 : 4.

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