Question
The ratio of two numbers is 3:5. If 9 is subtracted from
both, the new ratio becomes 12:23. Determine the original numbers.Solution
Let the numbers be 3x and 5x. After subtracting 9: (3x - 9)/(5x - 9) = 12/23 Cross-multiplying: 23(3x - 9) = 12(5x - 9) 69x - 207 = 60x - 108 9x = 99 x = 11 Original numbers: 3x = ₹33 and 5x = ₹55 Answer: c) 33 and 55
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