Multiple choice

Ram is half of his father age $20$ years ago the age of his father was $6$ times the age of ram. Find the age of Ram and his father.

  1. Ram $=30$ years, Father $=60$ years
  2. Ram $=25$ years, Father $=50$ years
  3. Ram $=22$ years, Father $=44$ years
  4. Ram $=20$ years, Father $=40$ years
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Let R and F be current ages. R = F/2 -> F = 2R. 20 years ago: (R-20) = (F-20)/6. Substitute F=2R: 6(R-20) = 2R-20 -> 6R - 120 = 2R - 20 -> 4R = 100 -> R = 25. F = 50.

AI explanation

Let Ram's present age be x and his father's present age be 2x. Twenty years ago, their ages were x - 20 and 2x - 20. The equation is 2x - 20 = 6 * (x - 20), which simplifies to 2x - 20 = 6x - 120. Solving for x gives 4x = 100, so x = 25. Ram is 25 years old and his father is 2 * 25 = 50 years old.

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