A certain fraction is equivalent to 2/5. If the numerator of the fraction is increased by 3 and the denominator is doubled, the new fraction is equivalent to 1/3. What is the sum of the numerator and denominator of the original fraction? Choose the correct option
A) 21/4 B) 35 C) 28 D) 26 E) 21
x/y = 2/5 -&gt; 1   (x+3)/2y = 1/3 -&gt; 2   Divide 1 by 2 :   =&gt; 2x/(x+3) = 6/5   =&gt; 10x = 6x + 18   =&gt; x = 3/2   =&gt; y = 5/2 * 3/2= 15/4   so x + y = 21/4   The answer is 21/4
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A certain fraction is equivalent to 2/5. If the numerator of the fraction is increased by 3 and the denominator is doubled, the new fraction is equivalent to 1/3. What is the sum of the numerator and denominator of the original fraction?