In a fraction, twice the numerator is more than the denominator.
If is added to the numerator and to the denominator the new fraction is .
Find the original number.
Step 1: Express the problem statement in the mathematical expression
Let the numerator of the fraction is and the denominator is .
It is given that, twice the numerator is more than the denominator.
Thus,
.
Now, is added to the numerator and to the denominator.
Thus, the new fraction .
Step 2: Solve the equations
Consider the equation:
Substitute with .
Thus,
.
Hence, the original fraction is .
Therefore, the original number is .