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

Is the following situation possible? If so, determine their present ages. The sum of the ages of two friends is $20$ years.Four years ago, the product of their ages in years was $48$.

  1. Not Possible

  2. Yes , 8 and 6

  3. Yes  ,12 and 4

  4. none
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

Let ages be x and 20-x. Four years ago: (x-4)(20-x-4) = 48. (x-4)(16-x) = 48. 16x - x^2 - 64 + 4x = 48. -x^2 + 20x - 112 = 0. Discriminant = 20^2 - 4(-1)(-112) = 400 - 448 = -48. Since the discriminant is negative, no real ages exist.

Multiple choice

A man is $24$ years older than his son. $12$ years ago, he was five times as old as his son. Find the present ages of both.
  1. Present age of father is $44$ years and Present age of son is $20$ years
  2. Present age of father is $42$ years and Present age of son is $18$ years
  3. Present age of father is $60$ years and Present age of son is $36$ years
  4. Present age of father is $48$ years and Present age of son is $24$ years
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Let son's age be x, father's be x + 24. 12 years ago: (x + 24 - 12) = 5(x - 12). x + 12 = 5x - 60. 4x = 72, so x = 18. Father = 18 + 24 = 42.

Multiple choice

$A$ is $25$ years older than $B$. In $15$ years, $A$ will be twice of $B$. Find the present ages of $A$ and $B$.
  1. Present age of $A$ is $40$ years and

    Present age of $B$ is $15$ years
  2. Present age of $A$ is $37$ years and

    Present age of B is $12$ years
  3. Present age of $A$ is $35$ years and

    Present age of $B$ is $10$ years
  4. Present age of $A$ is $45$ years and

    Present age of $B$ is $20$ years
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

A = B + 25. (A + 15) = 2(B + 15). Substitute: B + 25 + 15 = 2B + 30. B + 40 = 2B + 30. B = 10. A = 35.

Multiple choice

A man's age is three times that of his son and in twelve years he will be twice as old as his son would be. What are their present ages?
  1. Present age of man is $60$ years and

    Present age of son is $20$ years
  2. Present age of man is $45$ years and

    Present age of son is $15$ years
  3. Present age of man is $54$ years and

    Present age of son is $18$ years
  4. Present age of man is $36$ years and

    Present age of son is $12$ years
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Let M = 3S. (M + 12) = 2(S + 12). 3S + 12 = 2S + 24. S = 12. M = 36.

Multiple choice

The ratio of the present ages of mother and son is $ 12: 5$. The mother's age at the time of the birth of the son was $21$ years. Find their present ages.
  1. mother age $=$ $36$ years, son age $=$ $15$ years
  2. mother age $=$ $56$ years, son age $=$ $5$ years
  3. mother age $=$ $46$ years, son age $=$ $25$ years
  4. mother age $=$ $47$ years, son age $=$ $26$ years
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

Let mother = 12x, son = 5x. Mother's age at son's birth = 12x - 5x = 7x. Given 7x = 21, so x = 3. Mother = 12*3 = 36, son = 5*3 = 15.

Multiple choice

Aftab tells his daughter, "Seven years ago, I was seven times as old as you were then. Also, three years from now, I shall be three times as old as you will be." (Isn't this interesting?) What are their present ages?
  1. $12, 42$
  2. $13, 47$
  3. $18, 51$

  4. None of these
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

Let A be Aftab's age and D be daughter's age. (A-7) = 7(D-7) => A-7 = 7D-49 => A = 7D-42. (A+3) = 3(D+3) => A+3 = 3D+9 => A = 3D+6. Equating: 7D-42 = 3D+6 => 4D = 48 => D = 12. Then A = 3(12)+6 = 42.

Multiple choice

I am three times as old as my son. Five years later, I shall be two and a half times as old as my son. How old am I and how old is my son?

  1. My present age is 45 years and my son's present age is 15 years

  2. My present age is 60 years and my son's present age is 20 years

  3. My present age is 75 years and my son's present age is 25 years

  4. None of these
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

Let my age be M and son's age be S. M = 3S. (M+5) = 2.5(S+5) => 3S + 5 = 2.5S + 12.5 => 0.5S = 7.5 => S = 15. M = 45.