Let the required fraction be p/q.Given that, sum of the numerator and denominator of a fraction is 13;i.e., p + q = 13 ...(1)Adding 3 to numerator and 9 to denominator, we have,(P+3)/(q+9) = 2/33(P+3) = 2(q+9)3p+9 = 2q+183p-2q = 9 ...(2)Multiply eqn (1)by 2, 2p + 2q = 26...(3)Adding (2) and (3),5p = 35p = 7.Putting p value in (1), we get q = 13 - p = 13 - 7 = 6.Hence the required fraction is p/q = 7/6
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