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

The ages of Han and Harry are in the ratio $5 : 7$. Four years from now, the ratio of their ages will be $3 : 4$. Find their present ages.
  1. Present age of Han $= 15 $years

    Present age of Harry $=21 $years
  2. Present age of Han $ =25 $years

    Present age of Harry $=35$years
  3. Present age of Han $= 20$ years

    Present age of Harry $=28$years
  4. Present age of Han $= 25 $years

    Present age of Harry $=30 $years
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Let ages be 5x and 7x. (5x+4)/(7x+4) = 3/4. 20x + 16 = 21x + 12, so x = 4. Ages are 20 and 28.

Multiple choice

Ten years ago a father was six times as old as his daughter. After $10$ years, he will be twice as old as his daughter. Determine their present age.
  1. Present age of father $=10$ years
    Present age of daughter $=5$ years
  2. Present age of father $=13$ years
    Present age of daughter $=26$ years
  3. Present age of father $=20$ years
    Present age of daughter $=18$ years
  4. present age of father $= 40$ years
    Present age of daughter $=15$ years
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Let F and D be present ages. Ten years ago: (F-10) = 6(D-10). In 10 years: (F+10) = 2(D+10). Solving the system: F-10 = 6D-60 => F = 6D-50. Substituting: 6D-50+10 = 2D+20 => 4D = 60 => D = 15. Then F = 6(15)-50 = 40.

Multiple choice

Rahul mother's present age is six times Rahul's present age. Rahul's age five years from now will be one-third of his mother's present age. What are their present ages?
  1. Present age of Rahul is $8$ years and that of his mother is $48$ years
  2. Present age of Rahul is $9$ years and that of his mother is $54$ years
  3. Present age of Rahul is $5$ years and that of his mother is $30$ years
  4. Present age of Rahul is $4$ years and that of his mother is $24$ years
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Let R be Rahul's age, M be mother's age. M = 6R. (R+5) = (1/3)M. Substitute M: R+5 = (1/3)(6R) = 2R. R = 5. M = 6(5) = 30.

Multiple choice

Shikha and Riya are friends and their ages differ by $2$ years. Shikha's father Rajiv is twice as old as Shikha and Riya is twice as old as her sister Maya. The age of Rajiv and Maya differ by 40 years Then the age of Shikha and Riya respectively are _______
  1. $26$ years, $24$ years
  2. $\displaystyle 27\frac{1}{3}$ years, $\displaystyle 29\frac{1}{3}$ years
  3. $27$ years, $29$ years

  4. Both (A) and (B)
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Let Shikha be S, Riya be R. |S-R|=2. Rajiv=2S, Maya=R/2. Rajiv-Maya=40 => 2S - R/2 = 40 => 4S - R = 80. If S=R+2, 4(R+2)-R=80 => 3R=72 => R=24, S=26. If R=S+2, 4S-(S+2)=80 => 3S=82 => S=27.33, R=29.33. Both cases are valid.

Multiple choice

The present age of Suresh is twice his daughter's. Six years hence the ratio between the age of Suresh and his daughter will be $23 : 13$. What is the present age of Suresh?
  1. $40$ years
  2. $36$ years
  3. $46$ years

  4. Cannot be determined
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

Let daughter's age be x, so Suresh is 2x. Six years later, (2x+6)/(x+6) = 23/13. Solving 13(2x+6) = 23(x+6) gives 26x + 78 = 23x + 138, so 3x = 60, x = 20. Suresh's age is 2x = 40.

Multiple choice

A father is three times as old as his son. $5$ years ago, the father was four times as old as his son. After $5$ years, father's age will be
  1. $30$ years more than the son's age
  2. $25$ years more than the son's age
  3. $32$ years more than the son's age

  4. three times the son's age
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

Let son's age be x, then father is 3x. Five years ago: 3x - 5 = 4(x - 5). Solving gives 3x - 5 = 4x - 20, so x = 15. Father is 45, son is 15. After 5 years, father is 50 and son is 20. The difference is 50 - 20 = 30 years.

Multiple choice

A mother tells his daughter 'I was half your present age when you were born'. If the mother is $18$ years older than her daughter, what is the present age of the mother ?
  1. $54$
  2. $63$
  3. $36$
  4. $72$
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

Let the daughter's age be x. The mother's age is x + 18. When the daughter was born (age 0), the mother was x + 18 - x = 18. The problem states the mother was half the daughter's present age (x/2) when the daughter was born. So, x/2 = 18, which means x = 36. The mother's age is 36 + 18 = 54.

Multiple choice

Two years ago, Salim was thrice as old as his daughter and six years later, he will be four years older than twice her age. How old are they now?
  1. Salims age $= 68$ years, Daughters age $= 24$ years.
  2. Salims age $= 58$ years, Daughters age $= 74$ years.
  3. Salims age $= 23$ years, Daughters age $= 14$ years.
  4. Salims age $= 38$ years, Daughters age $= 14$ years.
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Let S and D be current ages. (S-2) = 3(D-2) => S-2 = 3D-6 => S = 3D-4. (S+6) = 2(D+6) + 4 => S+6 = 2D+12+4 => S = 2D+10. 3D-4 = 2D+10 => D = 14. S = 3(14)-4 = 38.

Multiple choice

Aman's age is three times his son's age. Ten years ago his age was five times his son's age. Find their present ages.
  1. Aman's age: $90$ years; Aman's sons age: $30$ years
  2. Aman's age: $45$ years; Aman's sons age: $15$ years
  3. Aman's age: $60$ years; Aman's sons age: $20$ years
  4. Aman's age: $75$ years; Aman's sons age: $25$ years
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Let son's age be x, Aman's be 3x. 10 years ago: 3x - 10 = 5(x - 10). 3x - 10 = 5x - 50. 40 = 2x, so x = 20. Aman's age = 3 * 20 = 60.

Multiple choice

Shobos mothers present age is six times Shobos present age. Shobos age five years from now will be one third of his mothers present age. What are their resent ages?
  1. Shobos age: $5$ years; Shobos mothers age: $30$ years
  2. Shobos age: $4$ years; Shobos mothers age: $24$ years
  3. Shobos age: $10$ years; Shobos mothers age: $60$ years
  4. Shobos age: $1$ years; Shobos mothers age: $6$ years
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

Let Shobo's present age be x, so his mother's age is 6x. Five years from now, Shobo's age is x + 5, which equals one third of 6x, or 2x; therefore x = 5 and his mother is 30.