NTT Data Problem on Ages Quiz -1

Let Chandan's age be y years. Then, Bharat's age = 3y years. Ashima's age = (3y + 2) years.

(3y + 2) + 3y + y = 51

7 y = 49

Y = 7

Hence, Bharat's age = 3y = 21 years.

Let the ages of children be x, (x + 4), (x + 8) years.

Then, x + (x + 4) + (x + 8) = 72

3x = 72 - 12

3x = 60

X = 20

Age of the youngest child = x = 20 years.

Let Rohit's age be x years.

Then, Shinchan's age = (x - 6) years.

\frac{x - 6}{x}= \frac{6}{9}

9x - 54 = 6 x

3x = 54

x = 18

Hence, Shinchan's age = (x - 6) = 12 years.

Let Raju's present age be x years. Then, Farhan's present age =(x + 3x) years = 4x years.

(4x + 8) = 5 ( x + 8 ) / 2

8x + 16 = 5x + 40

3x = 24

x = 8.

( 4x + 10 ) / ( x + 10 ) = ( 4*8 + 10 ) / ( 8 + 10 ) = 42/18 = 7 / 3

We are given that age ratio of Harpreet: Prateek = 2: 3

Harpreet’s age = 2y and Prateek’s age = 3y

Two years ago, their ages were 2y and 3y.

Hence at present, Harpreet's age = 2y +2 and Prateek's age = 3y +2

After 5 years, Harpreet’s age = (2y +2) + 5 = (2y+ 7)

Prateek's age = (3y +2) + 5 = (3y + 7)

After 5 years, this ratio becomes 4: 5. Therefore,

(2y +7) / (3y +7) = 4/5

10y + 35 = 12y + 28

2 y = 7

Y = 3.5

Prateek's present age = (3y + 2) = (3x 3.5 + 2) = 12.5 years

Harpreet's present age = (2y + 2) = (2x 3.5 + 2) = 9 years

Let the shanaya's present age be x years. Then, Ashima's present age = (x + 21) years.

(x + 21) + 2 = 2(x + 2)

x + 23 = 2x + 4

x = 19.

We are given the age ratio of Priya and Aarya = 2:3

One year ago, their age was 2x and 3x. Hence at present, Priya’s age = 2x - 1 and Aarya’s age = 3x - 1

After 6 years, Priya’s age = (2x-1) + 6 = (2x + 5)

Aarya’s age =  (3x-1) + 6 = (3x + 5)

After 6 years, this ratio becomes 19:26

Therefore,

Priya’s age/ Aarya’s age =

(2x + 5) /  (3x +5) = 19/26

26 (2x + 5) = 19 (3x + 5)

52x + 130 = 57 x + 95

57x – 52x = 130 – 95

5x = 35

X = 7

Aarya’s present age = (3x-1) = 3×7 - 1 = 20 years

 

Let the present ages of daughter and Fatima be x and (60 -x) years respectively.

Then, (60 - x) - 6 = 5(x - 6)

54 - x = 5x - 30

6x = 84

x = 14.

daughter's age after 6 years = (x+ 6) = 20 years.

Let the present ages of Ranveer Singh and Deepika Padukone be 4x years and 3x years respectively. Then,

4x + 6 = 26

4x = 20

x = 5.

Dipika's present age = 3x = 15 years.

Let the daughter's present age be y years. Then, ( 40  - y ) = y

2y = 40.

Y = 20

Daughter's age 9 years back (20 - 9 ) = 11 years.