Verified answer

Let the present age of son = x years.

Given that man's present age is five times his son's age.

Then the present age of man = 5x.

7 years hence:

⇒ Son's age = x + 7.

⇒ Man's age = 5x + 7.

Now,

Given that 7 years hence man's age will be thrice his son's age.

⇒ 5x + 7 = 3(x + 7)

⇒ 5x + 7 = 3x + 21

⇒ 2x = 14

⇒ x = 7.

Then,

⇒  5x

⇒ 5(7)

⇒ 35.

Therefore:

⇒ Present age of son = 7 years

⇒ Present age of man = 35 years.

Hope this helps!

Verified answer

Answer:

The son's age is 7 and the fathers age is 35.

Step-by-step explanation:

The present age of the son = x.

The present age of his father = 5x.

After 7 years,

Age of the son = x + 7.

Age of the father = 5x + 7.

According to the question,

➜ (x + 7)3 = 5x + 7

Solving it,

➜ 3x + 21 = 5x + 7

➜ 14 = 2x

➜ x = present age of the son = 7 years.

➜ 5x = 5×7 = 35 years = present age of the father.