Age All Reasoning Aptitude

Let the present ages of Asha and Lata be 5x and 6x respectively.

According to the given information, 6x - 5x = 6
x = 6

Then, Asha's age, 5x = 5 × 6 = 30
Lata's age, 6x = 6 × 6 = 36
Lata's age after 5 years = 36 + 5 = 41

Therefore, the answer is B. 41.

Let Saksham's present age be x years.

According to the given information, Vishal's present age = 3x years After 8 years, Vishal's age = 3x + 8 years After 8 years, Saksham's age = x + 8 years According to the given information, 3x + 8 = 2(x + 8) 3x + 8 = 2x + 16 3x - 2x = 16 - 8 x = 8

So, Vishal's present age = 3x = 3 × 8 = 24 years Vishal's age after 8 years = 24 + 8 = 32 years

Therefore, the answer is C. 32.

Let the present ages of A, B, C and D be a, b, c and d respectively.

The sum of their present ages is given as a + b + c + d = 70 After 5 years, their ages will be a + 5, b + 5, c + 5, and d + 5 respectively.

The sum of their ages after 5 years will be (a + 5) + (b + 5) + (c + 5) + (d + 5)

This can be simplified as a + b + c + d + 5 + 5 + 5 + 5 = 70 + 20 = 90

Therefore, the total of their ages 5 years later would be C. 90.

Let Vishal's current age be v and Aditi's current age be a.

We are given that v + a = 105 (Equation 1) and a = v - 25 (Equation 2).

Substituting Equation 2 into Equation 1, we get:

v + (v - 25) = 105

Combining like terms:

2v - 25 = 105

Adding 25 to both sides:

2v = 130

Dividing both sides by 2:

v = 65

Now that we know Vishal's age, we can find Aditi's age using Equation 2:

a = v - 25 = 65 - 25 = 40

Since Pritam is 7 years older than Aditi, Pritam's current age is:

a + 7 = 40 + 7 = 47

Therefore, the current age of Pritam is C. 47 years.

Let's call the current age of the father F and the current age of the son S.
We can set up two equations based on the information provided:

Ten years ago, the father's age was 3 and 1/2 times that of his son:

F - 10 = (3.5)(S - 10)

Ten years from now, the father's age will be 2 and 1/4 times that of the son:

F + 10 = (2.25)(S + 10)

Now, we can solve this system of linear equations to find the current ages of the father and the son.

First, simplify the equations:

1. F - 10 = 3.5S - 35
2. F + 10 = 2.25S + 22.5

Now, let's solve for F in both equations:

F = 3.5S - 25
F = 2.25S + 12.5

Since both equations equal F, we can set them equal to each other:

3.5S - 25 = 2.25S + 12.5

Now, subtract 2.25S from both sides:

1.25S - 25 = 12.5

Add 25 to both sides:

1.25S = 12.5 + 25
1.25S = 37.5

Now, divide by 1.25 to solve for S:

S = 37.5 / 1.25
S = 30

So, the son's current age is 30 years. Now, we can find the father's current age using one of the earlier equations:

F = 3.5S - 25
F = 3.5 * 30 - 25
F = 105 - 25
F = 80

The father's current age is 80 years.

To find the sum of their ages at present, you simply add F and S:

Sum = 80 (father's age) + 30 (son's age) = 110 years.

So, the sum of the ages of the father and the son at present is 110 years, which corresponds to option B.

Let Asma's current age be a and her grandfather's current age be g.

We are given that a + g = 80 (Equation 1) and that 10 years from now, Asma's age will be one-fourth of her grandfather's age. This can be expressed as:

a + 10 = 1/4(g + 10)

Multiplying both sides by 4, we get:

4a + 40 = g + 10

Solving for g, we get:

g = 4a + 30 (Equation 2)

Substituting Equation 2 into Equation 1, we get:

a + (4a + 30) = 80

Combining like terms:

5a + 30 = 80

Subtracting 30 from both sides:

5a = 50

Dividing both sides by 5:

a = 10

Therefore, Asma's current age is D. 10 years.

Let's call Aarav's current age A, and his mother's current age M.
We can set up two equations based on the information given:

Five years ago, Aarav's mother was three times as old as Aarav:
M - 5 = 3(A - 5)

In five years, Aarav's mother will be twice as old as Aarav:
M + 5 = 2(A + 5)

Now, let's solve this system of linear equations to find Aarav's current age (A).

First, let's simplify the first equation:

M - 5 = 3(A - 5)

Now, simplify the second equation:

M + 5 = 2(A + 5)

Now, let's solve for M in both equations:

M = 3(A - 5) + 5

M = 2(A + 5) - 5

Since both equations equal M, we can set them equal to each other:

3(A - 5) + 5 = 2(A + 5) - 5

Now, expand and solve for A:

3A - 15 + 5 = 2A + 10 - 5

3A - 10 = 2A + 5

Now, subtract 2A from both sides:

A - 10 = 5

Add 10 to both sides:

A = 5 + 10

A = 15

So, Aarav's current age is 15 years.

The correct answer is A. 15 years.

Let's represent X's current age as 'x' and Y's current age as 'y'.

We are given that X is 5 years older than Y. This can be expressed as:

x = y + 5

We are also given that the total of the current ages of X and Y is 33 years. This can be expressed as:

x + y = 33

Substituting the first equation into the second equation, we get:

(y + 5) + y = 33

Combining like terms:

2y + 5 = 33

Subtracting 5 from both sides:

2y = 28

Dividing both sides by 2:

y = 14

So, Y's current age is 14 years.

After 7 years, Y's age will be:

y + 7 = 14 + 7 = 21

Therefore, the age of Y after 7 years will be D. 21 years.

Let's call the current age of the mother M and the current age of the son S. 

From the information given:

The son was 16 five years ago, which means his current age is S = 16 + 5 = 21 years.

The mother told her son, "I was of your current age when you were born." This means the age of the mother when the son was born is equal to the son's current age.

So, the age of the mother when the son was born is 21 years.

Now, to find the current age of the mother, we need to add the age of the son when he was born to the son's current age:

Current age of the mother (M) = Age when the son was born + Son's current age

M = 21 + 21
M = 42 years

So, the current age of the mother is 42 years.

The correct answer is D. 42 years.

Let the current ages of the mother, daughter, and son be m, d, and s, respectively.
We are given that m + d + s = 96.

After 5 years, their ages will be m + 5, d + 5, and s + 5, respectively.

The sum of their ages after 5 years will be (m + 5) + (d + 5) + (s + 5)
= m + d + s + 5 + 5 + 5 = 96 + 15 = 111.

Therefore, the sum of their ages after 5 years will be B. 111.