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.

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The Answer of 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.

If the Numerator of a Certain Fraction Is Increased by 5