Question

the present age of a father is 5 times his sons age after 5years if the father age is 3 times his sons age .find the present age​

Answer 1

Answer:

25 and 5 year

Step-by-step explanation:

Let the present age of son and the man be x and 5x(since, his age is 5 times of x).

After 5 year:

    Age of man = 5x + 5

    Age of son = x + 5

According to the question,

⇒ Father age = 3 times of son's age

⇒ 5x + 5 = 3(x + 5)

⇒ 5x + 5 = 3x + 15

⇒ 5x - 3x = 15 - 5

⇒ 2x = 10

⇒ x = 10/2 = 5

 ∴ Present age of man = 5x = 5(5)

                                   = 25 year

     Present age of son = x = 5

Answer 2

Question:-

• The present age of a father is 5 times his sons age after 5 years if the father age is 3 times his sons age .Find the present age.

To Find:-

• Find the present age.

Solution:-

Here ,

Let the sons age be " x "

Father's age be " y "

According to the Question:-

Fathers age = Sons age

$\tt\implies \: 5x + 5 = 3( x + 5 )$

$\tt\implies \: 5x + 5 = 3x + 15$

$\tt\implies \: 5x - 3x = 15 - 5$

$\tt\implies \: 2x = 10$

$\tt\implies \: x = \cancel\dfrac { 10 } { 2 }$

$\tt\implies \: x = 5$

Hence ,

• Present age of son is 5 years.

• Father's present age is 5x = 25 years