Question

10. The father's age is six times 4 points
his son's age. Four years
hence, the age of the father
will be four times his son's age.
The present ages, in years, of
the son and the father are,
respectively. *​

Answer 1

Answer:

Step-by-step explanation:

Correct Question:-

The father's present age is 6 times his son's Age. 4 years hence the age of the father will be 4 times his son's age. find the present ages of father and son.

Answer:-

Solution :-

Let the present age of father be x years

And the present age of son be y years .

According to the Question,

⇒ x = 6y …(i)

After four years,

(x + 4) = 4(y + 4)

⇒ x - 4y = 12 …(ii)

On putting the value of x from Eq. (i) in Eq. (ii), we get

⇒ x - 4y = 12

⇒ 6y - 4y = 12

⇒ 2y = 12

⇒ y = 12/2

⇒ y = 6

Putting y value in eq (i),

⇒ x = 6y

⇒ x = 6 × 6

⇒ x = 36

Hence, present age of father is 36 years and age of son is 6 years.

Answer 2

Correct Question :

The father's age is 6 times of his son's age. 4 years hence, the age of the father will be 4 times of his son's age. Find the present ages of the son and the father.

Given :

• The father's age is 6 times of his son's age.
• 4 years hence, the age of the father will be 4 times of his son's age.

To find :

• Their present age.

Solution :

Let the present age of son be x years and the present age of father be y years.

According to 1st condition :-

• The father's age is 6 times of his son's age.

$\implies\sf{y=6x.........eq(1)}$

According to 2nd condition :-

• 4 years hence, the age of the father will be 4 times of his son's age.

After 4 years,

•Age of son = (x+4) years

• Age of father = (y+4) years

$\implies\sf{y+4=4(x+4)}$

$\implies\sf{y+4=4x+16}$

Put y = 6x from eq(1)

$\implies\sf{6x+4=4x+16}$

$\implies\sf{6x-4x=16-4}$

$\implies\sf{2x=12}$

$\implies\sf{x=6}$

★Present age of son = 6 years.

Now put x= 6 in eq(1) for getting the value of y.

$\implies\sf{y=6x}$

$\implies\sf{y=6\times\:6}$

$\implies\sf{y=36}$

★Present age of father = 36 years.

Therefore, the present age of son is 6 years and the present age of father is 36 years.