Quantitative Aptitude: Problems on Ages Set 15

1. Four years ago, the ratio of the ages of Akansha and Banya was 5 : 9. 8 years hence the ratio will be 2 : 3 respectively. Find the present age of Banya?
   40 years
   45 years
   48 years
   52 years
   None of these
   Option A
   Let 4 years ago Akansha’s age = 5x, Banya’s age = 9x
   Then 4+8 = 12 years after – (5x+12)/(9x+12) = 2/3
   Solve, x = 4
   Banya’s present age = 9x+4 = 40
   
    



2. Eight years ago, Akansha was 4 times as old as Banya. After 8 years Akansha will be twice as old as Banya. What are their ages respectively?
   42 and 18
   40 and 16
   45 and 20
   50 and 25
   None of these
   Option B
   
   
    



3. Present age of Banya is twice that of Akansha. 4 years hence Banya’s age will be 4 less than twice the age of Akansha. Find the difference in their ages?
   8
   6
   5
   4
   Cannot be determined
   Option E
   Let Akansha’s present age = x,
   Then Banya’s present age = 2x
   After 4 years, (2x+4) = 2(x+4) – 4
   0 = 0
   
    



4. Brijesh is twice older than Caryl and Akash is 2 years older than Brijesh. If the total of all of their ages is 27, what will be total of the ages of Akash and Caryl 6 years hence?
   25 years
   29 years
   28 years
   27 years
   None of these
   Option B
   Let Caryl’s present age = x,
   then Brijesh’s = 2x, and Akash’s = 2x+2
   Given: x+2x+(2x+2) = 27
   Solve it, x = 5
   Akash’s present age = 2x+2 = 12
   Caryl’s present age = x = 5
   6 years after Akash+Caryl)’s age = 12+5+6+6 = 29
   
    



5. The ratio of the present ages of Akansha to Banya is 5 : 3. The ratio of Akansha’s age 4 years ago to Banya’s age 4 years hence is 1 : 1. What is the ratio of Akansha’s age 4 years hence to Banya’s age 4 years ago?
   3:1
   1:5
   2:3
   4:5
   None of these
   Option A
   Let Akansha’s present age = 5x, and Banya’s = 3x
   Ratio of Akansha’s age 4 years ago to Banya’s age 4 years hence is 1 : 1. So
   (5x-4)/(3x+4) = 1/1
   Solve x = 4
   So Akansha’s present age = 20, and Banya’s = 12
   Required ratio = (20+4) : (12-4)
   
    



6. Age of Akansha is three times the sum of ages of Brijesh and Caryl. 5 years hence, Akansha’s age will be twice the sum of ages of Brijesh and Caryl. The total of their present ages is which of the following?
   60 years
   55 years
   58 years
   62 years
   None of these
   Option A
   Let (Brijesh+Caryl)’s present age= x
   Then Akansha’s present age = 3x
   After 5 years, (3x+5) = 2*(x+5+5)
   Solve, x = 15
   Sum = x+3x = 4x = 60 years
   
    



7. The sum of the age of mother and his daughter is 62 years. After 5 years, the age of mother will be five times that of the son. What is the age of the son ?
   7 years
   6 years
   8 years
   Cannot be determined
   None of these
   Option A
   Son = 62-5(5-1)/5+1 = 62-20/6 = 42/6 = 7 years
   
    



8. The sum of ages of Kashish and Sunita at present is 28 years more than the present age of Yash.The present age of Sunita is 6 years more than the age of Yash.What is the present age of Kashish ?
   22 years
   20 years
   25 years
   32 years
   None of these
   Option A
   Sunita = Yash+6
   Kashish+Sunita = Yash+28
   Kashish+Yash+6 = Yash+28
   Kashish = Yash+28-Yash-6
   Kashish = 22 years
   
    



9. Average age of a group of 32 candidates is 26 years. If a professor is included then the average age rises by 1 year,then the present age of professor is which of the following?
   57 years
   59 years
   58 years
   60 years
   62 years
   Option B
   
   
    



10. Sunita was thrice as old as Sarvesh 5 years back. Sunita will be 7/3 times as old as Sarvesh 5 years hence. How old is Sarvesh today?
    
    26 years
    24 years
    28 years
    30 years
    None of these
    Option A
    (7/3) * (X +10) = (3X + 10)
    7(x+ 10) = 3(3x+ 10)
    7x+70 = 9x+30
    2x=40
    X = 20
    Sarvesh Age = 20+6 = 26 years