In a fraction- twice the numerator is 2 than the denominator- If 3 is added to the numerator and to the denominator- the new fraction is displaystyle -2 over 3- Find the original fraction-

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In a fraction, twice the numerator is 2 more than the denominator. If 3 is added to the numerator and to the denominator, the new fraction is 23. Find the original fraction.

In a fraction, twice the numerator is $2$ more than the denominator. If $3$ is added to the numerator and to the denominator, the new fraction is $\frac{2}{3}$ . Find the original fraction.