First Naukri Ages Quiz -1

Solution:

Let the age of Miley Cyrus be y

Piper Laurie is 15 years older than Miley Cyrus = (y + 15).

So Piper Laurie's age 5 years ago = (y + 15 – 5).

Miley Cyrus's age before 5 years = (y – 5)

5 years ago, Piper Laurie is 3 times as old as Miley Cyrus

(y + 15 – 5) = 3 (y – 5)

(y + 10) = (3y – 15)

2y = 25

⇒ y = 12.5

Miley Cyrus's age = 12.5 years

Piper Laurie's age = (y + 15) = (12.5 + 15) = 27.5 years.

Solution:

10 years ago, age of the mother was three times the age of Lily Tomlin. Say, the age of Lily Tomlin was x and her mother's age was 3x.

At present: her mother's age is (3x + 10) and Lily Tomlin’s age is (x + 10)

After ten years: her mother's age will be (3x + 10) +10 and son’s age will be (x + 10) + 10. Given that, her mother’s age is twice that of Lily Tomlin after ten years.

(3x + 10) +10 = 2 [(x + 10) + 10]

(3x + 20) = 2[x + 20]

Solving the equation, we get x = 20

(3x + 10): (x + 10) = 70: 30 = 7: 3

Solution:

Here, we have to calculate: How many years ago the ratio of their ages was 3:2. Let us assume x years ago

At present: Jeff Daniels is 50 years and  Michelle Yeoh is 40 years

x years ago: Jeff Daniels’s age = (50 – x) and  Michelle Yeoh's age = (40 – x)

Given, the ratio of their ages was 3:2

\frac{(50-x)}{(40-x)} = \frac{3}{2}

Solving, we get: x = 20

Solution:

Let, Present age of his son be P.

The age of Gary Busey was: (48 - P).

His age when his son was born should be equal to 1/3 of P.

(48 - P) =\frac{1}{3} P

=> P = 36

Solution:

Currently, the ratio of their ages is 5: 3. Suppose, their ages are: 5x and 3x.

Julie Delpy’s age 4 years ago = 5x – 4

Linda Hamilton’s age after 4 years = 3x + 4

Ratio of  Julie Delpy’s age 4 years ago and Linda Hamilton's age after 4 years is 1 : 1

Therefore,

\frac{(5x + 4)}{(3x - 4)} = \frac{1}{1}

Solving, we get x = 4

We are required to find the ratio between  Julie Delpy’s age 4 years hence and Linda Hamilton’s age 4 years ago.

Julie Delpy's age: (5x + 4)

Linda Hamilton's age: (3x – 4)

Putting the value of x, we get:

\frac{(5x + 4)}{(3x - 4)} = \frac{3}{1} = 3:1

Solution:

Let the ages of children be x, (x + 3), (x + 6), (x + 9) and (x + 12) years.

Then, x + (x + 3) + (x + 6) + (x + 9) + (x + 12) = 50

5x = 20

x = 4

Age of the youngest child = x = 4 years.

Solution:

Let the present ages of Josh Brolin and  Hal Holbrook be 5x years and 4x years respectively.

Then, \frac{5x+3}{4x+3}=\frac{11}{9}

9(5x + 3) = 11(4x + 3)

45x + 27 = 44x + 33

45x - 44x = 33 - 27

x = 6.

Hal Holbrook's present age = 4x = 24 years.

Solution:

Let the present ages of son and Matt Dillonbe x and (60 -x) years respectively.

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

54 - x = 5x - 30

6x = 84

x = 14.

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

Solution:

Let Rahul's age be x years.

Then, Sachin's age = (x - 7) years.

\frac{x-7}{x}=\frac{7}{9}

9x - 63 = 7x

2x = 63

x = 31.5

Hence, Sachin's age =(x - 7) = 24.5 years.

Solution:

Mother's age when Ayesha Takia's brother was born = 36 years.

Father's age when Ayesha Takia's brother was born = (38 + 4) years = 42 years.

Required difference = (42 - 36) years = 6 years.