Quantitative Aptitude

Problems on Ages

1,744 Questions
All Translate multiples, fractions, and percentages 518 Use two ratios from different dates 500 Convert an age ratio into actual ages 258 Handle averages and changing groups 167 Generational age chains 111 Recognize equal age gaps 101 Product of ages 68 Ages in arithmetic progression 11 Division of lifespan 9

Problems on Ages Questions

Multiple choice

If Dennis is $\left (\displaystyle \frac{1}{3}\right)^{rd}$ the age of his father Keith now and was $\left (\displaystyle \frac{1}{4}\right)^{th}$ the age of his father $5$ years age then how old will his father Keith be $5$ years from now?
  1. $20$ years
  2. $45$ years
  3. $40$ years
  4. $50$ years
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Let Keith's present age be F, so Dennis is F/3. Five years ago, the relation was F/3 - 5 = (F - 5)/4, which gives F = 45; therefore, Keith will be 50 in five years.

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.

Multiple choice

Ritu is $5$ years younger than her brother Rohit. Their father is $25$ years older than Ritu. Four years ago, the fathers age was twice the sum of the ages of Rohit and Ritu then, Find present age of each.
  1. Ritu $=12$ year , Rohit $=18$ years and father $=40$ years
  2. Ritu $=9$ year , Rohit $=14$ years and father $=34$ years
  3. Ritu $=10$ year , Rohit $=19$ years and father $=44$ years
  4. Ritu $=11$ year , Rohit $=16$ years and father $=37$ years
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Let Ritu = x, Rohit = x + 5, Father = x + 25. Four years ago: Ritu = x - 4, Rohit = x + 1, Father = x + 21. Equation: x + 21 = 2 * (x - 4 + x + 1) = 2 * (2x - 3) = 4x - 6. 3x = 27, x = 9. Ritu = 9, Rohit = 14, Father = 34.

Multiple choice

The present age of a father is equal to the sum of the ages of his $5$ children. $12$ years hence, the sum of the ages of his children will be twice the age of their father. Find the present age of the father.
  1. $32$ years
  2. $34$ years
  3. $36$ years
  4. $38$ years
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Let F be the father's age and S be the sum of the children's ages. We have F = S. In 12 years, the sum of the children's ages will be S + 5(12) = S + 60, and the father's age will be F + 12. Given S + 60 = 2(F + 12), substitute S = F to get F + 60 = 2F + 24, which simplifies to F = 36.