A man is 24 years older than his son.In 2 years ,his age of his son. Find their present ages. Question A man is 24 years older than his son.In 2 years ,his age of his son. Find their present ages. in progress 0 Math Kennedy 2 weeks 2021-09-10T10:01:22+00:00 2021-09-10T10:01:22+00:00 1 Answer 0 views 0

## Answers ( )

Correct question:A man is 24 years older than his son. In 2 years, his age will be twice the age of his son. Find their present ages.

Solution:Let the age ofmanbe ‘m’ years.The age of his son be ‘s’ years.According to the question,

Man is 24 years older than his son

⇒m = s + 24 —- (

Eq.1)After 2 years

Man’s age = m + 2

Son’s age = s + 2

Now,

(m + 2) = 2(s + 2)

⇒m + 2 = 2s + 4

⇒ m = 2s + 2. (Subtract 2 on both sides)—-(

Eq.2)Equating Equation 1 and 2

2s + 2 = s + 24

⇒2s – s = 24 – 2

⇒ s = 22 years.

## Therefore age of son =

22 yearsm = s + 24

⇒ m = 22 + 24

⇒ m = 46 years

## Therefore age of man =

46years