Question

Vikrams age is four times the sum of the ages of his two sons.Six years hence his age will be double the sum of their ages. Find vikrams age

Answer 1

Answer:

The present age of Vikram is 54 years.

Step-by-step explanation:

Given :

Vikram's age = 4 times the sum of ages of his son

After 6 years = He will be twice the sum of his sons' ages

To find :

Vikram's age

Solution :

Let the ages be -

• sum of ages of two sons be x years 
• Age of Vikram = 4x years 

Let the ages after 6 years be -

• Vikram = (3x + 6) years 
• Sum of ages of two sons = (x + 12) years 

According to the Question -

After 6 years = He will be twice the sum of his sons' ages

⇒ (3x + 6) = 2(x + 12)

⇒ 3x + 6 = 2x + 24

⇒ 3x - 2x = 24 - 6

⇒ x = 18

Sum of the present ages of Vikram's sons = 18

$\rule{300}{1.5}$

★ Value of 3x

⇒ 18 × 3

⇒ 54

$\therefore$ The present age of Vikram is 54 years.

Answer 2

SOLUTION:-

Given:

•Vikrams age is four times the sum of the ages of his two sons.

•6 years hence, his age will be double the aim of their ages.

To find:

Find vikrams age.

Explanation:

Le the sum of ages of two sons be R years.

Let the age of vikrams is 4R years.

6 years hence:

Age of the vikrams is (4R +6) years.

Age of the two sons is (R+12) years.

According to the question:

=) (4R +6) = 2(R+12)

=) 4R +6 = 2R + 24

=) 4R -2R = 24 -6

=) 2R = 18

=) R= 18/2

=) R =9 years

So,

The age of Vikrams is 4R = (4×9) years

=) 36 years.

Thank you.