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Question

A certain fraction is equivalent to 12. If 3 is added to its numerator and 2 is added to its denominator, the resulting fraction is equivalent to 34. What is the numerator of the original fraction?

A
2
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B
3
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C
4
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D
5
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E
6
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Solution

The correct option is B 3
Let the fraction be xy which is equivalent to 12.
So, we get 2x=y.
Now 3 is added to numerator and 2 is added to denominator.
We get (x+3)(y+2) =34.
4x+12=3y+6
4x+6=3y
Substitute 2x=y in the equation,
2y+6=3y
y=6
Now, x=y2=62=3
Therefore, the numerator of original fraction is x=3.

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