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Hiranya is 40 years old and Ramanya is 60. When was the ratio of their ages 3 : 5?

A.

8 years ago

B.

12 years ago

C.

10 years ago

D.

None of these

Answer with explanation

Answer: Option CExplanation

Let the ratio 3 : 5 be ‘x’ years ago

(40 – x) / (60 – x) = 3 / 5

=> x = 10

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Sushma’s present age is 2 times the age his son Sunil will attain two years later. Sunil who is 20 years younger to his father, who in present times is 1.5 times the age of Sushma, is a teen. What will be the combined age of the family after 5 years?

A.

52 years

B.

67 years

C.

55 years

D.

51 years

Answer with explanation

Answer: Option BExplanation

Let present age of Sunil be x years, then Sushma’s present age is 2(x + 2) years.

According to the question,

Father’s present age is (20 + x) years.

Also,

20 + x = 1.5*2(x + 2)

20 + x = 3x + 6

2x = 14

x = 7 years

Mother’s present age = 18 years

Father’s present age = 27 years

Combined age of the family after 5 years,

7 + 5 + 18 + 5 + 27 + 5 = 67 years

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In 10 years, A will be twice as old as B was 10 years ago. If A is now 9 years older than B, the present age of B is

A.

36 years

B.

43 years

C.

39 years

D.

41 years

Answer with explanation

Answer: Option CExplanation

Let B’s age = x years.

Then, As age = (x+ 9) years.

(x+9+10)=2(x—10)

hence x=39.

The present age of B = 39 years

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A is two years older than B who is twice as old as C. If the total of the ages of A, B, and C be 27, then how old is B?

A.

6 years

B.

10 years

C.

11 years

D.

9 years

Answer with explanation

Answer: Option BExplanation

Let C’s age be x years.

Then, B’s age = 2x years.

A’s age = (2x + 2) years.

(2x + 2) + 2x + x = 27

5x = 25

=> x = 5

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A person was asked to state his age in years. His reply was, “Take my age three years hence, multiply it by 3 and then subtract three times my age three years ago and you will know how old I am.” What was the age of the person?

A.

14 years

B.

20 years

C.

18 years

D.

22 years

Answer with explanation

Answer: Option CExplanation

Let the present age of the person be x years.

Then, 3(x + 3) – 3(x – 3) = x

3x + 9 – 3x + 9 = x

=> x = 18

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Eight years ago, Ajay’s age was 4/3 times that of Vijay. Eight years hence, Ajay’s age will be 6/5 times that of Vijay. What is the present age of Ajay?

A.

32 years

B.

40 years

C.

43 years

D.

37 years

Answer with explanation

Answer: Option BExplanation

Let the present ages of Ajay and Vijay be ‘A’ and ‘V’ years respectively.

=> A – 8 = 4/3 (V – 8) and A + 8 = 6/5 (V + 8)

=> 3/4(A – 8) = V – 8 and 5/6(A + 8) = V + 8

V = 3/4 (A – 8) + 8 = 5/6 (A + 8) – 8

=> 3/4 A – 6 + 8 = 5/6 A + 20/3 – 8

=> 10 – 20/3 = 10/12 A – 9/12 A

=> 10/3 = A/12 => A = 40.

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The 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.

14.5

B.

11.5

C.

13.3

D.

15.6

Answer with explanation

Answer: Option AExplanation

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

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The age of father 10 years ago was thrice the age of his son. Ten years hence, father’s age was five times the age of the son. After 6 years, son’s age will be

A.

13:4

B.

9:2

C.

5:2

D.

7:3

Answer with explanation

Answer: Option DExplanation

Let the age 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

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My brother is 33 years elder to me. My father was 28 years of age when my sister was born while my mother was 26 years of age when I was born. If my sister was 4 years of age when my brother was born, then what was the age of my father when my brother was born?

A.

32 years

B.

34 years

C.

36 years

D.

38 years

Answer with explanation

Answer: Option AExplanation

Let my age =x

Then,

My brother’s age =x+3

My mother’s age =x+26

My sister’s age =(x+3)+4=x+7

My father’s age =(x+7)+28=x+35

Age of my father when my brother was born

=x+35−(x+3)=32

**(Or)**

Father’s age was 28 years when my sister was born.

My sister’s age was 4 years when my brother was born.

Therefore, father’s age was 28+4=32 years when my brother was born.

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A father said to his son, “I was as old as you are at present at the time of your birth.” If the father’s age is 38 years now, the son’s age five years back was:

A.

38 years

B.

19 years

C.

14 years

D.

34 years

Answer with explanation

Answer: Option CExplanation

Let the son’s present age be x years.

Then, (38 – x) = x

2x = 38

=> x = 19

Son’s age 5 years back = (19 – 5) = 14 years.

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The ratio of ages of three persons is 4:7:9, Eight years ago, the sum of their ages was 56. Find their present ages.

A.

16,28,36

B.

16,28,27

C.

16,35,36

D.

12,28,36

Answer with explanation

Answer: Option AExplanation

Let the present ages are 4x, 7x, 9x.

=> (4x-8) + (7x-8) + (9x-8) = 56

=> 20x = 80

=> x = 4

So their present ages are: 16,28,36

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The proportion of Yuvaraj’s age to Ganguly’s age is 4:3. Yuvaraj will be 26 years old after 6 years. What is the age of Ganguly now?

A.

13 years

B.

15 years

C.

17 years

D.

19 years

Answer with explanation

Answer: Option BExplanation

Current ages of Yuvaraj = 4A and Ganguly = 3A

So that 4A + 6 = 26

=> A = 5

Current age of Ganguly = 3A

=> 3 x 5 = 15 years

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A man is 24 years older than his son. In two years, his age will be twice the age of his son. The present age of this son is

A.

24 years

B.

23 yaers

C.

22 years

D.

21 years

Answer with explanation

Answer: Option CExplanation

Let’s Son age is x, then Father age is x+24.

=> 2(x+2) = (x+24+2)

=> 2x+4 = x+26

=> x = 22 years

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Sobha’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.

3 years

B.

4 years

C.

5 years

D.

6 years

Answer with explanation

Answer: Option DExplanation

Let Sobha’s age = x and

her brother’s age = x−4

Sobha’s father’s age = x+38

Sobha’s mother’s age = (x−4) + 36 = x+32

====>>>> Sobha’s father’s age – Sobha’s mother’s age

====>>>>(x+38) − (x+32) = 6

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