DXC Quants Problems on Ages Quiz 4

Answer : 88 years
Solution:
The ratio of present age of Ajay and hir son’s age = 4 : 1 (4x, x)
Ajay’s present age = (2/5)*Ajay’s father’s present age
Ajay’s father’s present age = 10x
According to the question,
x + 4x + 10x = 120
15x = 120
x = 120/15
x = 8
Ajay’s father’s present age = 10x = 80 years
Ajay’s son’s present age = x = 8 years
Required sum = 80 + 8 = 88 years

Answer : 2:1
Solution:
6 years ago, the ratio of the ages of Akbar and Birbal = 7: 6 (7x, 6x)
Present ages of Akbar and Birbal = 7x + 6, 6x + 6
Present age of Jahangir = (1/6)*Birbal’s present age + 10
Akbar’s present age = 34 years
According to the question,
7x = 28
x = 4
Birbal’s present age = 6x + 6 = 30
Jahangir’s present age = (1/6)*30 + 10 = 15
Required ratio = 30: 15 = 2: 1

Answer:
Present age of daughter Nyasa = 8 years
Age of Mother and Daughter 4 years back = 36 and 4 respectively
Present age of Mother Kajol= 40 years
Present age of Son, Yug= 15 years
Age of Father and Mother when son was born( 15 years back) = 30 and 25 respectively.
Therefore, present age of father, Ajay = 45 years
Age of family 8 years ago
Daughter = 0
Son = 7
Mother = 32
Father = 37
Average age = (7 + 32 + 37)/3 = 25.33 years

Answer:
We are given that age ratio of Sidharth : Kiara = 2: 3
Sidharth’s age = 2x and Kiara’s age = 3x
One year ago, their age was 2x and 3x.
Hence at present, Sidharth's age = 2x +1 and Kiara's age = 3x +1
After 5 years, Sidharth’s age = (2x +1) + 5 = (2x + 6)
Kiara's age = (3x +1) + 5 = (3x + 6)
After 5 years, this ratio becomes 4: 5. Therefore,
(2x+6) / (3x+6) = 4/5
10x + 30 = 12x + 24 ⇒ x = 3
Kiara‘s present age = (3x + 1) = (3x 3 + 1) = 10 years
Sidharth's present age = (2x + 1) = (2x 3 + 1) = 7 years

Solution:
Present age of the son is P, he was born P years ago.
The age of the father was: (50 - P).
His age when the son was born should be equal to 1/4 of P.
(50 - P) =1/4 P ⇒ P = 40

Solution:
Currently, the ratio of their ages is 5: 3. Suppose, their ages are: 5x and 3x.
Sania’s age 4 years ago = 5x – 4
Vandana’s age after 4 years = 3x + 4
Ratio of Sania’s age 4 years ago and Vandana’'s age after 4 years is 1 : 1
Therefore,
(5x - 4) / (3x + 4) = 1/1
Solving, we get x = 4
We are required to find the ratio between Sarina’s age 4 years hence and Vandana’s age 4 years ago.
Sania's age: (5x + 4)
Vandana's age: (3x – 4)
Putting the value of x, we get:
(5x + 4) / (3x - 4) = 3/1 = 3:1

Answer: 15
Solution:
Let the present age of Amitabh be x
So, after 5 years, Amitabh’s age,
⇒ x+5 = 25
⇒ x = 20
So, Amitabh’s present age is 20 years
According to the question,
20 / Jayas age = 4 / 3
⇒ Jaya’s age = (20×3) / 4 = 15

Answer: 15 years
Solution: Let the present age of Naseruddin be 3x
Let the present age of Paresh be 4x
5 years back, Naseruddin’s age = (3x-5) years
5 years back, Paresh’s age = (4x-5)
According to the question, (3x-5) : (4x-5) = 2:3
⇒(3x-5) ÷ (4x-5) = 2/3
⇒3(3x-5) = 2(4x-5)
⇒9x-15 = 8x-10
⇒x = 5
Therefore, Naseruddin’s current age = 3×5 = 15 years

Solution:
Let the present age of Twinkle be 2x
So, the present age of the daughter = x
According to the question,
⇒2x-20 = 10(x-20)
⇒2x-20 = 10x – 200
⇒8x = 180
⇒x= 22.5
Thus, the present age of Twinkle = 22.5 × 2 = 45 years

Answer: 32 years
Solution:
The ratio of present age of Rakesh and Komal = 2 : 3 (2x, 3x)
Shweta = 3 + Komal = 3x + 3
Sum of the present ages of three of them = 75 years
2x + 3x + 3x + 3 = 75
8x = 72
x = 9
Present age of Rakesh = 2x = 18 years
Present age of Janki = 2*Rakesh = 2*18 = 36 years
The age of Janki, 4 years ago = 32 years