Civil Service Exam Reviewer · Ratio and Proportion · hard

Two numbers are in the ratio 3 : 4. If 18 is added to each, the ratio becomes 24 : 29. What is the larger of the original numbers?

  1. 58
  2. 30
  3. 40
  4. 76

Answer

C. 40

Solution

Let the numbers be 3k and 4k. (3k + 18)/(4k + 18) = 24/29 → k = 10. Larger = 4 × 10 = 40.

More Ratio and Proportion questions

  1. The ratio of the number of pupils to teachers in a school is 90 : 1. If there are 30 teachers, how many pupils must be added so that the…
  2. Alloy X contains gold and copper in the ratio 5 : 3; alloy Y contains them in the ratio 5 : 4. If equal weights of X and Y are melted…
  3. The present ages of a father and his son are in the ratio 2 : 1. 2 years ago, the ratio was 16 : 7. What is the son's present age?
  4. Two numbers are in the ratio 2 : 9. If 16 is added to each, the ratio becomes 34 : 97. What is the larger of the original numbers?
  5. 8 workers can complete a job in 27 days. After working for 12 days, 5 workers leave. How many more days will the remaining workers need to…
  6. ₱39,360 is shared among A, B and C such that A : B = 2 : 5 and B : C = 1 : 5. How much does C receive?
  7. A box has red and blue balls in the ratio 7 : 4. After 5 red balls are removed, the ratio becomes 37 : 24. How many blue balls are in the…
  8. Two similar rectangles have corresponding sides in the ratio 1 : 7. What is the ratio of their areas?
  9. A gear with 56 teeth rotating at 240 rpm drives a gear with 84 teeth. How fast does the second gear rotate?
  10. The ratio of the number of pupils to teachers in a school is 50 : 1. If there are 14 teachers, how many pupils must be added so that the…

All Ratio and Proportion questions