Age All Reasoning Aptitude

Let's call Vishal's current age V and Armaan's current age A.

From the information given, we have two equations:

The sum of their current ages is 70 years:
V + A = 70

Five years ago, Vishal was twice as old as Armaan:
V - 5 = 2(A - 5)

Now, we can solve this system of linear equations to find Armaan's current age (A).

First, let's simplify the second equation:

V - 5 = 2(A - 5)

Now, let's solve for V in the first equation:

V = 70 - A

Now, substitute this expression for V in the second equation:

70 - A - 5 = 2(A - 5)

Now, simplify the equation:

65 - A = 2A - 10

Now, add A to both sides:

65 = 3A - 10

Add 10 to both sides:

75 = 3A

Now, divide by 3 to find A (Armaan's current age):

A = 75 / 3

A = 25

So, Armaan's current age is 25 years.

The correct answer is C. 25 years.

Let the present ages of the father and son be f and s respectively.

10 years ago, their ages were f - 10 and s - 10 respectively.

According to the given information, f - 10 = 3.5(s - 10)

10 years from now, their ages will be f + 10 and s + 10 respectively.

According to the given information, f + 10 = 2.25(s + 10)

Now we have two equations with two unknowns:

Equation 1: f - 10 = 3.5(s - 10) Equation 2: f + 10 = 2.25(s + 10)

Solving for f in Equation 1, we get:

f = 3.5s - 25

Substituting this value of f into Equation 2, we get:

(3.5s - 25) + 10 = 2.25(s + 10)

Simplifying and solving for s, we get:

3.5s - 15 = 2.25s + 22.5

1.25s = 37.5

s = 30

Now that we know s, we can find f using Equation 1:

f - 10 = 3.5(30 - 10)

f - 10 = 70

f = 80

The sum of their present ages is f + s = 80 + 30 = 110

Therefore, the answer is B. 110.

Let Shipra's current age be 's' and Malini's current age be 'm'.

We are given that s + m = 65 (Equation 1) and that after 5 years, Shipra's age will be 15 years more than Malini's age. This can be expressed as:

s + 5 = m + 5 + 15

Simplifying:

s + 5 = m + 20

Solving for s:

s = m + 15 (Equation 2)

Substituting Equation 2 into Equation 1, we get:

(m + 15) + m = 65

Combining like terms:

2m + 15 = 65

Subtracting 15 from both sides:

2m = 50

Dividing both sides by 2:

m = 25

Therefore, Malini's current age is A. 25 years.

Given that Rishabh is 10 years old and his mother is 20 years older than him, Rishabh's mother's age is 10 + 20 = 30 years old.

We are also given that Rishabh's mother is 6 years younger than his father. This means that Rishabh's father's age is 30 + 6 = 36 years old.

Therefore, the answer is B. 36 years.

Let Arun's current age be 'a'.

We are given that on his next birthday, Arun's age will be twice his age that was 12 years ago. This can be expressed as:

a + 1 = 2(a - 12)

Expanding the right side:

a + 1 = 2a - 24

Solving for 'a':

a = 25

Therefore, Arun's current age is C. 25 years.

Let Raman's current age be 'r' and Shruti's current age be 's'.

We are given that Raman's age is twice the age of his daughter Shruti. This can be expressed as:

r = 2s (Equation 1)

We are also given that ten years ago, Raman's age was three times Shruti's age. This can be expressed as:

r - 10 = 3(s - 10)

Expanding the right side:

r - 10 = 3s - 30

Solving for 'r':

r = 3s - 20 (Equation 2)

Substituting Equation 2 into Equation 1, we get:

3s - 20 = 2s

Solving for 's':

s = 20

Therefore, Shruti's current age is B. 20 years.

Let the mother's current age be 'm' and the son's current age be 's'.

We are given that after three years, the total age of the mother and son will be 50.
This can be expressed as:

m + 3 + s + 3 = 50

Simplifying:

m + s = 44 (Equation 1)

We are also given that the mother's age was 30 before three years. This means that the mother's current age is 30 + 3 = 33.

Substituting m = 33 into Equation 1, we get:

33 + s = 44

Solving for 's':

s = 11

Therefore, the son's present age is D. 11 years.

The average age of the four persons currently is 86/4 = 21.5 years.

Four years ago, each person was 4 years younger, so their average age would have been 21.5 - 4 = 17.5 years.

Therefore, the answer is C. 17.5 years.

Let's denote the current ages of Ram, Shyam, and Adil as R, S, and A, respectively. According to the information given:

R + S + A = 60 (The total of their current ages is 60 years)

To find the total of their ages four years ago, you need to subtract 4 years from each of their current ages and then sum them up:

(R - 4) + (S - 4) + (A - 4)

Now, let's simplify this expression:

(R - 4) + (S - 4) + (A - 4) = R + S + A - 12

We already know that R + S + A is 60, so:

60 - 12 = 48

So, the total of their ages four years ago was 48 years.

The correct answer is D. 48 years.

Let's denote Rahul's current age as 'R', Amar's current age as 'A', and Amber's current age as 'B'.

We are given that Rahul is three times as old as Amar, which can be expressed as:

R = 3A

We are also given that Amber was half the age of Rahul three years ago. This can be expressed as:

B - 3 = (1/2)(R - 3)

We are also given that after four years, Rahul will be 43. This can be expressed as:

R + 4 = 43

Solving for R, we get:

R = 39

Substituting this value of R into the equation R = 3A, we get:

39 = 3A

Solving for A, we get:

A = 13

Substituting R = 39 into the equation B - 3 = (1/2)(R - 3), we get:

B - 3 = (1/2)(39 - 3)

B - 3 = 18

B = 21

Therefore, the present ages of Amar and Amber are 13 and 21 respectively. The answer is B. 13,21.