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If \(\frac{8x + 3y}{4x + 5y} = \frac{25}{23}\) then find x : y.1. 2 : 32. 2 : 53. 3 : 54. 1 : 5 |
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Answer» Correct Answer - Option 1 : 2 : 3 Given: \(\frac{8x + 3y}{4x + 5y} = \frac{25}{23}\) Calculation: \(\frac{8x + 3y}{4x + 5y} = \frac{25}{23}\) ⇒ 23 (8x + 3y) = 25 (4x + 5y) ⇒ 184x + 69y = 100x + 125y ⇒ 184x – 100x = 125y – 69y ⇒ 84x = 56y ⇒ 3x = 2y \( ⇒ \frac{x}{y} = \;\frac{2}{3}\) ⇒ x : y = 2 : 3 ∴ x : y is 2 : 3 |
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