Two number are in the ratio 3:5 . If 9 is subtracted form each , the new numbers are in the ratio 1223. The smaller number is

Two number are in the ratio 3:5 . If 9 is subtracted form each , the new numbers are in the ratio 1223. The smaller number is Correct Answer 33

Let the two numbers be 3x and 5x respectively. According to the given problem, (3x - 9)/(5x - 9) = 12/23 = > 23 × (3x - 9) = (5x - 9) × 12 = > 69x - 207 = 60x - 108 = >9x = 207 - 108 = >x = 99/9 = 11 Therefore, the two numbers are (3 × 11) = 33 and (5 × 11) = 55. The smaller number is 33.
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