Question

a father's age is 30 years older than his son in two years his age will be twice the age of his son the present age of father is​

Answer 1

Answer:

28 & 58

Step-by-step explanation:

a father's age is 30 years older than his son in two years his age will be twice the age of his son

the present age of father is 58

Answer 2

The present age of the father is 58 years.

Given,

Father is 30 years older than his son,

Father's age after 2 years will be twice his son's age.

To find,

Father's present age.

Solution,

Firstly, let the father's present age be $f$ years, and the son's present age be $s$ years.

Now, the father is 30 years older than his son. So,

$f=s+30$     ...(1)

After 2 years,

father's age will be $f+2$ years, and,

son's age will be $s+2$ years,

It is given that after 2 years, the father's age will be twice the son's age. So,

$f+2=2(s+2)$     ...(2)

From equation (1), we have,

$s=f-30$

Substituting this value in equation (2), we get,

$f+2=2((f-30)+2)$

Simplifying the above equation,

$f+2=2(f-28)$

$\implies f+2=2f-56$

$\implies f+2=2f-56$

$\implies 56+2=2f-f$

Rearranging,

$f=58$

⇒ Father's present age is = 58 years.

Therefore, the present age of the father is 58 years.