# 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