1.

If  \(\frac{8x + 3y}{4x + 5y} = \frac{25}{23}\) then find x : y.1. 2 : 32. 2 : 53. 3 : 54. 1 : 5

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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