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Let present age of A and B be 8X years and 15X years respectively. According to question, (8X – 8)/(15X – 8) = 6/13 104X – 104 = 90X – 48 14X = 56 X = 4 Desired Ratio = (8X + 8) : (15X + 8) = 40:68 = 10:17