Multiple choice

Ram's father's present age is eight times Ram's present age. Ram's age six years from now will be one fifth of his father's age at that time. Find their present ages.

  1. $10,80$
  2. $40,5$
  3. $48,6$
  4. $8,64$
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Let R be Ram's age, F be father's age. F = 8R. (R+6) = (1/5)(F+6). 5(R+6) = 8R+6 => 5R+30 = 8R+6 => 3R = 24 => R = 8. F = 8*8 = 64.

AI explanation

Let Ram's present age be x years, so his father's present age is 8x years. In six years, their ages will be x + 6 and 8x + 6, giving the equation x + 6 = (1/5)(8x + 6). Multiplying by 5 gives 5x + 30 = 8x + 6, meaning 3x = 24 and x = 8. Therefore, Ram is 8 years old and his father is 64 years old.

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