Question

A father is 30 years older then his son in 12 years the man will be three times as old as his son find their ages ?

Answer 1

Answer:

Let the present age of the son be x years.

Then, father's age will be -

• ( x + 30 ) yrs.

In question it is given that after 12 years father will be three times as old his son -

$\\ \text{Therefore,} \\ \\ \\ \implies \sf \: 3 \: (x + 12) = x + 30 + 12 \\ \\ \\ \implies \sf \: 3x + 36 = x + 42 \\ \\ \\ \implies \sf \: 3x - x = 42 - 36 \\ \\ \\ \implies \sf \: 2x = 6 \\ \\ \\ \implies \sf \: x = \cancel \frac{6}{2} \\ \\ \\ \implies \large{ \boxed{ \sf \: x = 3}}$

So, the present age of the son is 3 years.

_____________________________

Age of father -

$\\ \\ \sf \: x + 30 \\ \\ \\ \sf = 3 + 30 \\ \\ \\ \sf = 33 \: \: years.$

Therefore, the present age of the father is 33 years.

Answer 2

Answer :-

• Here we are taking the present age of son be x years.

Thats why father's age will be :-

• ( x + 30 ) years.

As per the question it is given that after 12 years father will be three times as old his son :-

→ 3 (x + 12) = x + 30 + 12

→ 3x + 36 = x + 42

→ 3x - x = 42 - 36

→ 2x = 6

→ x = 6/2

→ x = 3

Therefore, the present age of the son is 3 years

Now age of father :-

→ x + 30

→ 3 + 30

→ 33 years

Therefore, the present age of father is 33 years.