If \(\frac{3}{x} = 2\) and \(\frac{y}{4} = 3\), then \(\frac{{3 + y}}{{x + 4}}\) = ? 

A  \(\frac{{30}}{{11}}\) 

B  \(\frac{{10}}{9}\) 

C  \(\frac{9}{{16}}\) 

D  None of these 

Solution

Correct Answer: Option A

Solution: 

 যদি \(\frac{3}{x} = 2\) এবং  \(\frac{y}{4} = 3\), হয় তবে \(\frac{{3 + y}}{{x + 4}}\) = কত ? 

 দেয়া আছে, \(\frac{3}{x} = 2\) 

    => 2x = 3 

          x = 3/2 

         আবার, \(\frac{y}{4} = 3\)      y = 12 

        প্রদত্তরাশিমালা = \(\frac{{3 + y}}{{4 + x}} = \frac{{3 + 12}}{{4 + \frac{3}{2}}} = \frac{{15}}{{\frac{{8 + 3}}{2}}} = \frac{{15}}{{\frac{{11}}{2}}} = 15 \times \frac{2}{{11}} = \frac{{30}}{{11}}\) 

 

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