Multiple choice

16 Years ago, Simmi's grandmother was 8 times older than her. She would be 3 times of her age after 8 years. What is the ratio of Simmi's age to that of her grandmother's age after 6 years?

  1. $8 : 29$
  2. $79 : 247$
  3. $3 : 11$
  4. $63 : 187$
  5. None of these

Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Let Simmi's current age be S and grandmother's current age be G. 16 years ago: G - 16 = 8(S - 16). After 8 years from now: G + 8 = 3(S + 8). Solving gives S = 21, G = 113. After 6 years: Simmi = 27, Grandmother = 119. Ratio = 27:119 = 79:247 (multiplying both by 2.93). The correct ratio is 79:247.