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

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If \(\frac{8x + 3y}{4x + 5y} = \frac{25}{23}\) then find x : y.
1. 2 : 3
2. 2 : 5
3. 3 : 5
4. 1 : 5
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Correct Answer - Option 1 : 2 : 3

Given:

\(\frac{8x + 3y}{4x + 5y} = \frac{25}{23}\)

Calculation:

23(8x + 3y) = 25(4x + 5y)

⇒ 184x + 69y = 100x + 125y

⇒ 184x - 100x = 125y - 69y

⇒ 84x = 56y

⇒ 3x = 2y

⇒ x/y = 2/3

∴ x : y is 2 : 3 

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