CMA Foundation · Fundamentals of Business Mathematics and Statistics · Ratios, Variations and Proportions
The ratio of two numbers is 5:3. If 4 is added to each, the ratio becomes 3:2. What is the sum of the original numbers?
The sum of the original numbers is 32. Taking the numbers as 5k and 3k and adding 4 to each gives 10k + 8 = 9k + 12, so k = 4. The numbers are 20 and 12, and 24:16 does equal 3:2.
- A16
- B24
- C32Correct
- D40
Explanation
Let numbers be 5k and 3k. (5k+4)/(3k+4) = 3/2 gives 10k+8 = 9k+12, so k = 4. Numbers are 20 and 12, sum 32. Check: 24:16 = 3:2. Option 24 comes from taking k = 3.
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