Multiple choice

One year ago, the age of Pramila was 4 times as old as her daughter Swati, 6 years hence the age of Pramila will be 24 years more than the age of Swati. The ratio of their present age is:

  1. $9:2$
  2. $11:3$
  3. $12:5$
  4. $13:4$
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Let Pramila's current age = P, Swati's = S. One year ago: P-1 = 4(S-1), so P-1 = 4S-4, thus P = 4S-3. Six years hence: P+6 = (S+6) + 24, so P+6 = S+30, thus P = S+24. Setting equal: 4S-3 = S+24, so 3S = 27, S = 9. Then P = 9+24 = 33. Ratio P:S = 33:9 = 11:3. Verification: One year ago, Pramila was 32, Swati was 8, and 32 = 4×8.