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Given the ratio of two numbers = 3:5 let the numbers be 3x and 5x the numbers increased by 10 = 3x+10 and 5x+10 the ratio is given as 5:7 Therefore 3x+10 : 5x+10 = 5 : 7 Product of means = Product of extremes 7(3x+10) = 5(5x+10) 21x +70 = 25x+50 70-10 = 25x- 21x 20 = 4x 4x = 20 x = 20/4 Therefore x = 5 The numbers are 3x = 3×5 = 15 5x = 5×5 = 25.