Problems on Ages Test

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Problems on Ages Test - 1

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Question 1
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The average age of a man and his son is 54 years. The ratio of their ages is 23: 13. What will be the ratio of their ages after 6 years.

A
10:7

B
5:3

C
4:3

D
3:2

E
None of these

Solution

To find the ratio of their ages after 6 years:

- Let the current ages be 23x and 13x.
avg age =sum/2
sum = avg age x 2
sum = 54x2 =108
- Their sum is 36x (23x + 13x = 36x), and this equals 108 years.
- So, 36x = 108 years, thus x = 3.
- After 6 years, their ages will be 23(3) + 6 = 75 and 13(3) + 6 = 45.
- The ratio of their ages after 6 years is 75:45, which simplifies to 5:3.
- This simplifies further to 5:3, which is the correct answer (Option B).
Question 2
2 / -0.83

The average age of a man and his two twin sons is 30 years. The ratio of the ages of father and one of his sons is 5:2. What is the father ’s age

A
50 years

B
30 years

C
45 years

D
20 years

E
None of these

Solution

Let father's age be M and age of twins be 2x
(M + 2x)/3 = 30
M + 2x = 90------------(1)
M/x = 5/2
2M = 5x---------------(2)
Multiply (1) with 2
We get, 2M + 4x = 180--------------(3)
Putting (2) in (3)
5x+4x = 180 => 9x = 180x = 20. [his children are twins so 2x = 40]Since M + 2x = 90M = 90 -40 = 50years
Question 3
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Two years ago the ratio of ages of A and B was 5:7. Two years hence the ratio of their ages will be 7:9. What is the present age of B.

A
16 years

B
14.5 years

C
12 years

D
15 years

E
None of these

Solution

Let x,y be present ages of A,B.
x-2/y-2=5/7 implies 7x-5y=4 -(1)
x+2/y+2=7/9 implies 9x-7y=-4. (2)

(1) * 7 - (2) * 5 gives x=12
7(12) - 5y = 4
84 - 5y = 4
80 = 5y
16 = y
substitute and get y which would be 16
Question 4
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The ratio between the present ages of Ravi and Vinay is 7:15 respectively. Two years from now Vinay ’s age will be twice that of Ravi ’s age. What was the difference between their ages 5 years ago.

A
13 years

B
16 years

C
11 years

D
18 years

E
None of these

Solution

The correct option is B.
Let the present age of Ravi be 7x and that of Vinay be 15x.
After 2 yrs , Ravi age = 7x+2
Vinay age = 15x+2.
Acc. to ques,
15x+2 = 2 (7x+2)
15x+2 = 14x+4
x = 2.
Five yrs ago,
Ravi age = 7x-5 =>7*2 - 5 = 9 yrs
Vinay age = 15x - 5 = 15*2 - 5 = 25 yrs.
Difference = 25 - 9 = 16 years
Question 5
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The ratio between the present age of Radha and Seema is 5:4. Four years ago Seema ’s age was 24 years. What will be the age of Radha after 5 years.

A
39 years

B
40 years

C
32 years

D
35 years

E
None of these
Question 6
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The ratio between the present ages of Radha and Seema is 5:7. After 8 years Radha ’s age will be 28 years. What was Seema ’s age 5 years ago.

A
21 years

B
24 years

C
28 years

D
22 years

E
None of these

Solution

The correct option is E.
Let the present age of Radha be 5x So 8 yrs back , i.e, at present she is 20.
this means 5x = 20 =>x = 4
Then Seema 's age = 7x = 7*4 = 28yrs.
Five yrs ago , her age was 28 - 5 = 23yrs.
Question 7
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In a family the average age of the father and mother is 38 years, whereas the average age of father, mother and only daughter is 28 years. The age of daughters is

A
5 years

B
6 years

C
8 years

D
10 years

E
None of these

Solution

The correct option is C.
Let father 's age be x, mother 's age be y and daughter 's age be z.

(x+y)/2 = 38
x+y = 76

(x+y+z)/3 = 28
(76+z)/3 = 28
76+z = 84
z = 8 years
Question 8
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At present A is twice as old as B. Eight years hence, the ratio between the ages of A and B will be 22:13. What is A ’s present age.

A
26 years.

B
18 years

C
42 years

D
36 years

E
None of these
Question 9
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At present Tarun is twice the age of Vishal and half of Tanvi ’s age. After four years Tarun will be 1.5 times Vishal ’s age and Tanvi will be 2.5 times Vishal ’s age. What is Tanvi ’s present age?

A
12 years

B
8 years

C
20 years

D
16 years

E
None of these

Solution

Vishal's present age = x years
Tarun's present age = 2x years
Tanvi's present age = 4x years
After 4 years.
Tarun's age = 1.5 * Vishal's age
=>2x + 4 = 1.5(x+4)
=>2x - 1.5x = 2
=>0.5x = 2 =>x = 2/0.5 = 4
Tanvi's present age = 16 years.
Question 10
2 / -0.83

On Teacher ’s Day, 4800 sweets were to be equally distributed among a certain number of children. But on that particular day 100 children were absent. Hence, each child got four sweets extra. How many children were originally supposed to be there?

A
300

B
400

C
540

D
500

E
None of these .

Solution

Let the original number of children be x.

∴ 4800/x-100 - 4800/x = 4

=>4800((x-x+100)/(x(x-100))) = 4

=>x(x-100) = 1200 * 100

=>x(x-100) = 400(400-100)

=>x = 400
Question 11
2 / -0.83

The ratio between the present ages of P and Q is 6:7. If Q is four years older 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
Data inadequate

E
None of these

Solution

P:Q = 6:7 i.e P/Q = 6/7 =>7P = 6Q--------1
Given that Q = P + 4 (put in 1)
7P = 6(P + 4)
So, P = 24 and Q = P+4 i.e 28years
After 4 years, P+4 i.e 24+4= 28yrs
And Q = 28 +4 = 32years
The ratio we get is 7:8
None of the above mentioned options are correct so option 'E 'is correct
Question 12
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Present age of X and Y are in the ratio 5:6 respectively. Seven years hence this ratio will become 6:7 respectively. Wat is X ’s present age?

A
35

B
42

C
49

D
Cannot be determined

E
None of these
Question 13
2 / -0.83

The age of father 10 years ago was thrice the age of his son. Ten years hence, father ’s age will be twice that of his son. The ratio of their present ages is

A
5:2

B
7:3

C
9:2

D
13:4

E
None of these

Solution

The correct option ia B.
Let the ages of father and son 10 years ago be 3x and x years respectively.
Then, (3x + 10) + 10 = 2[(x + 10) + 10]
⇒3x + 20 = 2x + 40
⇒x = 20
∴Required ratio
= (3x + 10) : (x + 10)
= 70 : 30
= 7 : 3
Question 14
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The total age of A and B is 12 years more than the total age of B and C. C is how many years younger than A?

A
12 years

B
24 years

C
C is elder than A

D
Data inadequate

E
None of these

Solution

The correct option is A.
Given that A+B = 12 + B + C
⇒A –C = 12 + B –B = 12
⇒C is younger than A by 12 years
Question 15
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The difference between the ages of two persons is 10 years. Fifteen years ago, the elder one was twice as old as the younger one. The present age of elder person is?

A
25 years

B
35 years

C
45 years

D
55 years

E
None of these

Solution

Let the elder person be 'A' and younger be 'B'. A - B = 10. A = 10 +B. 15 years ago,A -15 = 2(B-15) 10 + B - 15 = 2(B - 15). B -5 = 2B - 30. B = 25 A = B + 10 Therefore, A = 35
Question 16
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A father said to his son, “At the time of your birth, I was as old as you are at present ”. If father ’s age is 38 years now the sons age 5 years back was

A
14 years

B
19 years

C
33 years

D
38 years

E
None of these

Solution

When son was born father was of 19
now father 38 and son 19
age of son 5 years back =14 years
Question 17
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Ayesha 's father was 38 years of age when she was born while her mother was 36 years old when her brother four years younger to her was born. What is the difference between the ages of her parents?

A
2 years

B
4 years

C
6 years

D
8 years

E
None of these

Solution

Mother 's age when Ayesha 's brother was born = 36 years.
Father 's age when Ayesha 's brother was born = (38 + 4) years = 42 years.
Required difference = (42 - 36) years = 6 years.
Question 18
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If 6 years are subtracted from the present age of Gagan and the remainder is divided by 18,then the present age of his grandson Anup is obtained. If Anup is 2 years younger to Madan whose age is 5 years,then what is Gagan 's present age?

A
48 years

B
60 years

C
84 years

D
96 years

E
None of these

Solution

The correct option is B.
Let gagan 's age be "x ".
anup 's age = (x-6)/18
madan 's age=5 therefore anup 's age =3
btp,
(x-6)/18=3
so x=60

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Problems on Ages Test - 1

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Problems on Ages Test - 1

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SHARING IS CARING

Question 1

10:7

5:3

4:3

3:2

None of these

Solution

Question 2

50 years

30 years

45 years

20 years

None of these

Solution

Question 3

16 years

14.5 years

12 years

15 years

None of these

Solution

Question 4

13 years

16 years

11 years

18 years

None of these

Solution

Question 5

39 years

40 years

32 years

35 years

None of these

Question 6

21 years

24 years

28 years

22 years

None of these

Solution

Question 7

5 years

6 years

8 years

10 years

None of these

Solution

Question 8

26 years.

18 years

42 years

36 years

None of these

Question 9

12 years

8 years

20 years

16 years

None of these

Solution

Question 10

300

400

540

500

None of these .

Solution

Question 11

3:4

3:5

4:3