Question

Six year ago Parvez’s age was same as the present age of Manish. If the present age of Parvez is one-fourth more than that of Manish's present age, then in how many years will Parvez’s age become double of Manish’s present age?

A) 6 B) 12 C) 15 D) 18

Answer 1

Given :

• Six year ago Parvez’s age was same as the present age of Manish.
• The present age of Parvez is one-fourth more than that of Manish's present age.

To find :

• Pravez's age will become double Manish's present age =?

Step-by-step explanation :

Let, the present age of Manish's be, x

Then the present age of Parvez's be, y.

As per question,

The present age of Parvez is one-fourth more than that of Manish's present age,

•°• Pravez's age = x/4 + x = 5x/4

According to the question,

y - 6 = x

5x/4 = x + 6

x/4 = 6

x = 24.

Therefore, the present age of Manish's, x = 24 years.

And, the present age of Parvez's,

= 5x/4

= 5 × 24/4

= 30 year's

Now,

Pravez's age will become double Manish's present age,

So, Let, the time be, t

As per question,

30 + t = 2(24)

30 + t = 48

t = 48 - 30

t = 18.

Hence, After 18 years, Pravez's age will become double Manish's present age

Therefore, Option d). 18 is the correct option.

Answer 2

Answer:

option D) 18 is correct

Parvez's age become double of manish's present age in 18 years.

Given:

➛Six year ago Parvez’s age was same as the present age of Manish.

➛The present age of Parvez is one-fourth more than that of Manish's present age.

To Find:

How many years will Parvez’s age become double of Manish’s present age?

Solution:

We are given,

➛Six year ago Parvez’s age was same as the present age of Manish.

➛The present age of Parvez is one-fourth more than that of Manish's present age.

Let present age of Parvez be P and Manish be M.

Now , According to first condition,

➞P - 6 = M

➛P - M = 6 ................ ( 1 )

According to second condition,

➞P = 1 / 4 M + M

➛P = 5M / 4….............(2)

Now, put value of P in equation ( 1 ),

We get,

➞5M / 4 - M = 6

⛬ M = 24

➞ P = ( 5 × 24 ) / 4

⛬ P = 30

⛬ After 18 years, age of Pravez = 48,

which is double of Manish’s present age.

option D) 18 is correct.