If the Numerator of a Certain Fraction Is Increased by 5

Short Answer

If the numerator of a certain fraction is increased by 5 and the denominator is decreased by 3, the resulting fraction is $\frac { 10 } { 3 }$ . However, if the numerator of the original fraction is doubled and the denominator is increased by 7, the resulting fraction is $\frac { 10 } { 13 }$ . Find the original fraction.