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If (2x + 3y) ∶ (3x + 5y) = 18 ∶ 29, then x ∶ y is equal to
1. 3 ∶ 4
2. 4 ∶ 5
3. 1 ∶ 2
4. None of the above

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Correct Answer - Option 1 : 3 ∶ 4

Given:

(2x + 3y) ∶ (3x + 5y) = 18 ∶ 29

Calculations:

2x + 3y/3x + 5y = 18/29

⇒ 29(2x + 3y) = 18(3x + 5y)

⇒ 58x + 87y = 54x + 90y

⇒ 58x - 54x = 90y - 87y

⇒ 4x = 3y

⇒ x/y = 3/4

∴  x ∶ y is 3 ∶ 4

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