1.

If x : y = 2 : 3 then the value of \(\frac{3x + 2y}{9x + 5y}\) will be:1. \(\frac{4}{11}\)2. \(\frac{11}{2}\)3. \(\frac{1}{2}\)4. \(\frac{5}{14}\)

Answer» Correct Answer - Option 1 : \(\frac{4}{11}\)

Given:

x : y = 2 : 3

Calculation:

As, x : y = 2 : 3

Then, x = 2k and  y = 3k

⇒ Put this ratio in this equation  \(\frac{3x + 2y}{9x + 5y}\)

⇒ \(\frac{3(2k) + 2(3k)}{9(2k) + 5(3k)}\)

⇒ 12/33 = 4/11

∴ The value of the given expression is 4/11


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