Problems on Ages Questions

Multiple choice
  1. $40$ years
  2. $50$ years
  3. $45$ years
  4. $60$ years
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Let daughter = D, son = S, father = F, mother = M. F = 3D. S = M/2. M = F - 9. S = D + 7. Substituting: (F-9)/2 = D+7 => F-9 = 2D+14 => F = 2D+23. Since F = 3D, 3D = 2D+23, so D = 23. Then F = 69. M = 69 - 9 = 60.

Multiple choice
  1. $2:1$
  2. $1:3$
  3. $4:1$
  4. $3:1$
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Let the present ages be 5k and 3k. The condition 5k - 4 = 3k + 4 gives k = 4, so the present ages are 20 and 12. Their requested ages are 24 and 8, giving the ratio 24:8 = 3:1.