DXC Quants Problems on Ages Quiz 2

Answer : 18, 10
Explanation :
Let the present ages of Kamal and Sohan be x years and y years respectively.
As per the question,
(x + 14) + (y + 14) = 2(x + y)
x + y + 28 = 2x + 2y
x + y = 28 .....(i)
Also,
y + 8 = x
x – y = 8 .....(ii)
Solving eqns (i) and (ii), we get
x = 18 and y = 10
Therefore, Present ages of Kamal and Sohan is 18 years and 10 years respectively

Answer: 52 and 56
Before 30 years, Mark's age = x years, Priscilla's age = x – 4 years
According to the question,
2(x – 4) – 1.5x = 5
2x – 8 – 1.5x = 5
0.5x = 5 + 8
0.5x = 13
x = 26
Priscilla's present age = 26 – 4 +30 = 52
Mark' present age = 26 + 30 = 56

Answer:
Esha : her mother = 1 : 4
Her mother : Her brother = 9 : 1
Esha : Her mother : Her brother = 9 : 36 : 4
According to the question,
9x – 4x = 5
5x = 5
x = 1
Esha mother age after 4 years = 36 × 1 + 4 = 40 years

Answer:
Let the age of Saina = x, her cousin’s age = x – 8, Cousin’s mother age = x – 8 + 24
Ratio between the ages of Saina and her cousin’s mother is 7 : 11
x : x + 16 = 7 : 11
11 × x = (x + 16) × 7
11x = 7x + 112
4x = 112
x = 28
Saina’s cousin age = 28 – 8 = 20
After 3 years Saina’s cousin age = 20 + 3 = 23 years

Answer : 12 years, 44 years
Solution:
Let the present age of the P be x years and the present age of the Q be y years
According to the question, x+y = 56 —- (1)
After 4 years, age of the P = x+4
Age of the Q after 4 years = y+4
So, x+4 = 3 (y+4) —- (2) x+4 = 3y + 12
From the equation (1) we get, x = 56-y
Thus, keep the value of x in equation 2, we get
(56-y) + 4 = 3y + 12
⇒60 – y = 3y + 12
⇒y = 12
So, the Q’s present age is 12 years P’s present age = 56-12 = 44 year

Answer : 79 years
Explanation:
Let Tiger’s present age be x
Given, Mohan’s present age 8 years
Then, Arav’s present age = 8-3 = 5 years
Given, if we subtract 9 years from Arav’s present age and divide the remainder by 14 we will get Tiger’s present age
= x-9/14 = 5
x-9 = 70
x = 79 years
Tiger’s present is 79 years

Answer : 20
Explanation :
Let’s assume Arjun’s current age as s.
Then, Yudhisthira's will be r = (s + 2)
r + 12 = 2(s + 12) - 16
s + 2 + 12 = 2s + 24 - 16
s = 6
r = s + 2
r = 8
Age of Yudhisthira after 12 years = 12 + 8 = 20

Answer : 3:1
Explanation :
Erika was 5 times older than Gigi 10 years ago.
Let the age of Gigi 10 years ago be x years.
∴ The age of Erika 10 years ago = 5x years
5 years from now, Erika will be twice older than Gigi.
∴ We can write now,
(5x + 10 + 5) = 2 × (x + 10 + 5)
⇒ 5x + 15 = 2x + 30
⇒ 3x = 15
⇒ x = 5
∴ Age of Gigi 10 years ago = 5 years
And, the age of Erika 10 years ago = 5x = 5 × 5 = 25 years
∴ The reqd. ratio = \frac{25 + 5}{5+5} = \frac{30}{10} = 3:1

Answer: 13, 3
Let the present ages of Tendulkar and Dravid be x years and y years respectively.
As per the question,
(x + 16) + (y + 16) = 3(x + y)
x + y + 32 = 3x + 3y
x + y = 16 .....(i)
Also,
y + 10 = x
x – y = 10 .....(ii)
Solving eqns (i) and (ii), we get
x = 13 and y = 3
Therefore, Present ages of Tendulkar and Dravid is 13 years and 3 years respectively

Answer:
Let Mayank's age be (10x + y) years
Age by reversing the digits = (10y + x) yrs
Now, 10x + y − 18= 10y + x
9x – 9y = 18
x – y = 2..................(1)
Also,
10x+y = 8(x+y) – 6
2x – 7y = –6..........… (2)
Solving equations (1) and (2),
x = 4 , y = 2
Therefore, Mayank's age = 10x + y
= 10(4) + 2
= 42 years