Problems on Ages


  1. The ratio of present ages of two brothers is 1 : 2 and 5 years ago the ratio was 1: 3. What will be the ratio of their ages after 5 years?









  1. View Hint View Answer Discuss in Forum

    Let us assume their present ages be x and 2x years;

    Correct Option: C

    Let us assume their present ages be x and 2x years; then
    5 years ago ages of the brothers was x - 5 and 2x - 5 years.
    According to question, 5 years ago the ratio was 1: 3
    ( x - 5)/(2x - 5) = 1/3
    ⇒ 3x-15 = 2x -5
    ∵ x = 10
    Hence, their present ages 10 years and 20 years.
    Ages after 5 years will be 10 +5 and 20 + 5 Years
    Required ratio = 10+5/20 + 5 = 15/25 = 3/5 = 3 : 5


  1. Three years ago the average age of A and B was 18 years. With C joining them, now the average become 22 years. How old is C now ?









  1. View Hint View Answer Discuss in Forum

    Sum of age of A and B, 3 years ago = (18 x 2) = 36 years
    Sum of ages of A, B and C, now = (22 x 3) = 66 years
    Sum of ages of A and B, now = (36 + 6) years = 42 years
    ∴ C's present age = (66 - 42) years = 24 years

    Correct Option: A

    Sum of age of A and B, 3 years ago = (18 x 2) = 36 years
    Sum of ages of A, B and C, now = (22 x 3) = 66 years
    Sum of ages of A and B, now = (36 + 6) years = 42 years
    ∴ C's present age = (66 - 42) years = 24 years



  1. Pushpa is twice as old as Rita was two years ago. If the difference between their ages be 2 years, how old is pushpa today ?









  1. View Hint View Answer Discuss in Forum

    Let Rita's age of 2 years ago be x years.
    ∴ Pushpa's present age = 2x years
    ⇒ 2x - (x + 2) = 2

    Correct Option: B

    Let Rita's age of 2 years ago be x years.
    ∴ Pushpa's present age = 2x years
    ⇒ 2x - (x + 2) = 2
    ⇒ x = 4
    ∵ Pushpa's present age = 8 years.


  1. Five years ago Vinay's age was one-third of the age of Vikas and now Vinay's age is 17 years. What is the present age of Vikas ?









  1. View Hint View Answer Discuss in Forum

    Let the present age of the Vikas be x years. Then,
    17 - 5 = (x - 5)/3

    Correct Option: C

    Let the present age of the Vikas be x years. Then,
    17 - 5 = (x - 5)/3
    ⇒ x - 5 = 36
    ∴ x = 41 years



  1. The age of a man is 4 times that of his son. Five years ago, the man was nine times as old as his son was at that time. The present age of the man is ?









  1. View Hint View Answer Discuss in Forum

    Let the son's be x years, then father's age = 4x years
    ∴ (4x - 5) = 9(x - 5)

    Correct Option: B

    Let the son's be x years, then father's age = 4x years
    ∴ (4x - 5) = 9(x - 5)
    ⇒ 5x = 40
    ⇒ x = 8
    ∴ Present age of the man = 32 years