Problems on Ages Practice Set – 1
1. The sum
of the present ages of a father and his son is 60 years. Five years ago,
father's age was four times the age of the son. so now the son's age will be:
a) 5
b) 10
c) 15
d) 20
e) 25
Answer: C)
Explanation: Let the present ages of son and father
be x and (60 - x) years respectively.
Then,
(60 - x) - 5= 4(x - 5)
55
- x = 4x – 20
2. Sivagami
is 2 years elder than Avanthika. After 6 years the total of their ages will be
7 times of their current age. Then age of Sivagami is :
a) 19 years
b) 17 years
c) 15 years
d) Data
Inadequate
e) None of
these
Answer: D)
Explanation: Let Avanthika’s age = A.
Then
Sivagami’s age = A + 2
After
6 years the total of their ages will be 7 times of what?
Not
clear.
So
the given data are inadequate.
3. The age
of a person is thrice the total ages of his 2 daughters. 0.5 decades hence, his
age will be twice of the total ages of his daughters. Then what is the father’s
current age? [0.5 Decades = 5 Years]
a) 35 years
b) 40 years
c) 45 years
d) 47 years
e) 50 years
Answer: C)
Explanation: Let, Total of current ages of the 2
daughters is A years.
Then,
father’s current age = 3A years.
(3A
+ 5) = 2 (A +10)
3A
+ 5 = 2A + 20
A
= 15
Therefore,
father’s current age = 45 years.
4. The ages
of X and Y are in the proportion of 6:5 and total of their ages is 44 years.
The proportion of their ages after 8 years will be
a) 3 : 6
b) 6 : 3
c) 8 : 7
d) 9 : 5
e) 9 : 7
Answer: C)
Explanation: Let current ages of X and Y
correspondingly, is 6A & 5A
Given:
6A + 5A = 44
=>
A = 4
Proportion
of ages after 8 years will be
6A
+ 8 : 5A + 8 => 32:28 (or) 8:7
5. The ages
of Krish and Vaibhav are in the proportion of 3 : 5. After 9 years, the
proportion of their ages will be 3 : 4. Then the current age of Vaibhav is:
a) 10
b) 13
c) 15
d) 18
e) 20
Answer: C)
Explanation: Krish’s age = 3A and Vaibhav’s age
= 5A
(3A
+ 9)/(5A + 9) = 3/4
=>
4 (3A + 9) = 3 (5A + 9)
=>
A = 3
Therefore,
Vaibhav’s age = 15 years.
6. The
ratio between the present ages of P and Q is 6 : 7. If Q is 4 years old than P,
what will be the ratio of the ages of P and Q after 4 years ?
a) 3 : 4
b) 3 : 5
c) 4 : 3
d) 7 : 8
e) None of
these
Answer: D)
Explanation: Let P's age and Q's age be 6x years
and 7x years respectively.
Then,
7x - 6x = 4 <=> x = 4.
∴ Required
ratio = (6x + 4) : (7x + 4) = 28 : 32 = 7 : 8.
7. The
average age of a couple is 24 years when they were married five years ago but
now the average age of the husband, wife and child is 20 years(the child was
born during the interval). What is the present age of the child ?
a) 2 years
b) 3 years
c) 4 years
d) 5 years
e) 6 years
Answer: A)
Explanation: 29 x 2 = 58
20
x 3 = 60
The
present age of the child = 60 – 58 = 2 years
Therefore,
the age of child is 2 years.
8. The
average age of seven persons sitting in a row facing east is 26 years. If the
average age of the first three persons is 19 years and the average age of the
last three persons is 32 years, then find the age of the person sitting in the
middle of the row ?
a) 32 years
b) 29 years
c) 24 years
d) 27 years
e) 33 years
Answer: B)
Explanation: Total age seven persons = (26 x
7)years
Total
age of the first three persons and the last three persons are (19 x 3) years
and (32 x 3) years respectively.
Age
of the person sitting in the middle of the row = 26 x 7 - 19 x 3 - 32 x 3 = 182
- 57 - 96 = 29 years.
9. Ratio of
the ages of Mahesh and Nilesh is 5 : x. Mahesh is 18 years younger to Ramesh.
After nine years Ramesh will be 47 years old. If the difference between the
ages of Mahesh and Nilesh is same as the age of Ramesh, what is the value of x
?
a) 11.8
b) 12.9
c) 13.7
d) 14.5
e) 15.6
Answer: D)
Explanation: Let the present ages of Mahesh,
Nilesh and Ramesh be k, l and m respectively.
k/l
= 5/x ------ (1)
k
= m - 18 ------ (2)
m
+ 9 = 47 ------ (3)
k
- l = m ----- (4)
(3)
=> m = 47 - 9 = 38 years
(2)
=> k = 38 -18 = 20 years
(1)
=> 20/l = 5/x => l = 4x
(4)
=> 4x - 20 = 38
=>
4x = 58 => x = 14.5
10. Raju
got married 8years ago. His present age is 6/5 times his age at the time of his
marriage Raju's sister was 10years younger to him at the time of his marriage.
The present age of Raju's sister is ?
a) 30
b) 32
c) 36
d) 38
e) None of
these
Answer: D)
Explanation: Let Raju's age at the time of his
marriage = X years
Then
from given data
=>
X + 8 = 6/5 X
X
= 40.
Since
got married 8 years ago, his present age
= 48
His
sister is 10 years younger => 48 - 10 = 38 years.
