# Quantitative Aptitude: Problems on Ages Set 19

1. The ratio of age of A to B is 6 : 7 and also the ratio of age of C to B is 17 : 14. If the average of their ages is 43 years, then find the ratio of ages B 3 years ago to age of C after 1 year.
4 : 5
2 : 5
1 : 5
9 : 4
3 : 4
Option E
Ratio of age of A and B = 6 : 7
ratio of age of B and C = 14 : 17
ratio of age of A, B and C = 12 : 14 : 17
Average of A, B and C = 43 years
total age = 43 * 3 = 129
present age of B = 129 * 14/43 = 42
present age of C = 129 * 17/43 = 51
ratio of B and C = (42-3) : (51+1) = 3 : 4

2. The age of Shankar’s father is four times more than the age of Shankar. 6 years hence, Shankar’s father age is three times the age of Shankar. Find the sum of the age of Shankar and his father.
24
45
36
25
20
Option C
Let the age of Shankar = x
his father age = x + 4x = 5x
6 years hence, (x + 6) 3 = 5x + 6
3x + 18 = 5x + 6
x = 6
The age of Shankar = 6
the age of his father = 5 * 6 = 30
sum = 6 + 30 = 36 years

3. The present age of a father is 2 years more than four times the age of his daughter. After 6 years, the age of father will be 2 years less than thrice the age of the daughter. What is the fathers present age ?
28 years
34 years
32 years
42 years
56 years
Option B
Let the age of daughter = x
the age of her father = 4x + 2
After 6 years,
4x + 2 + 6 = (x + 6) 3 – 2
4x + 8 = 3x + 16
x = 8
present age of her father = 4 * 8 + 2 = 34 years

4. In a family, the average age of father and mother is 29 years. If the average age of father, mother and their two sons is 20 years, then what is the age of elder son whose age is 2 years more than the younger one ?
8 years
9 years
14 years
19 years
12 years
Option E
Total age of father and mother = 29 * 2 = 58
total age of father, mother and their two sons = 20 * 4 = 80
Total age of their two sons = 80 – 58 = 22
The age of younger son = 22 – 2/2 = 10 years
age of elder son = 10 + 2 = 12 years

5. The average of four persons is 43 years. When a new person come, average age of all the five persons is increased by 2 years. What is the age of new person ?
52 years
40 years
53 years
30 years
34 years
Option C
Total age of four persons = 43 * 4 = 172
After joining new person average age of all five persons = 43 + 2 = 45
total age of five persons = 45 * 5 = 220
age of new person = 225 – 172 = 53 years

6. The ratio of present age of P and Q is 3 : 4. After 15 years the ratio of age of P and Q is 6 : 7, then find the age of Q before 4 years.
25 years
17 years
32 years
42 years
43 years
Option B
Let the present age of P and Q = 3x and 4x respectively.
After 15 years,
3x + 15/4x + 15 = 6/7
24x + 90 = 21x + 105
3x = 15,
x = 5
age of Q before 3 years = ( 4 * 5) – 3 = 17 years

7. Five years ago, the average age of P, Q and R was 25 years and seven years ago, the average age of Q and R was 20 years. Find the present age P.
32 years
25 years
34 years
36 years
26 years
Option D
Total age of P, Q and R before 5 years = 25 * 3 = 75
total present age of P,Q and R = 75 + 15 = 90
total age of Q and R seven years ago, = 20 * 2 = 40
total present age of Q and R = 40 + 14 = 54
present age of P = 90 – 54 = 36 years

8. The ratio between the present ages of A and B is 5 : 8. After 4 years, the ratio between their will be 2 : 3. If the present age of C is 2 years more than the average present age of A and B, then find the present age of C ?
25 years
35 years
24 years
18 years
28 years
Option E
Let the present age of A and B = 5x and 8x respectively .
After 4 years,
5x + 4/8x + 4 = 2/3
16x + 8 = 15x + 12
x = 4
present age of A = 5 * 4 = 20
present age of B = 8 * 4 = 32
the present age of C = (20 + 32)/2 + 2 = 28 years

9. Four years ago, the average age of A and B was 20 years. Now C has joined with them and their average ages become 32 years. What is the present age of C in years ?
40 years
32 years
52 years
48 years
42 years
Option D
Four years ago, total of A and B = 20 * 2 = 40
total present age A and B = 40 + 8 = 48
total age of A, B and C = 32 * 3 = 96
age of C = 96 – 48 = 48 years.

10. The present age of father is 60% more then the present age of his son. If after 4 years, the sum of age of father and son is 86 years, then what is the present age of son ?
32 years
30 years
40 years
44 years
20 years
Option B
Let present age of son = 5x
present age of father = 5x * 160/100 = 8x
after 4 years,
8x + 4 + 5x + 4 = 86
13x + 8 = 86
x = 6
present age of son = 5x = 5 * 6 = 30 years.