Question

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

1 point

4&36

3&23

6&36​

Answer 1

EXPLANATION.

Let the age of father be = x years.

Let the age of son be = y years.

The father age is 6 times the age of his son.

=> x = 6y ....... (1)

4 years hence the age of the father will be

four times his son age.

=> Let the present age of father = x + 4

=> Let the present age of son = y + 4

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

=> x + 4 = 4y + 16

=> x - 4y = 12 ..... (2)

From equation (1) and (2) we get,

=> put the value of equation (1) in (2)

we get,

=> 6y - 4y = 12

=> 2y = 12

=> y = 6

put the value of y = 6 in equation (1)

we get,

=> x = 6(6) = 36

Therefore,

present age of son = y = 6 years.

present age of father = x = 6y = 36 years.

Answer 2

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