A father is three times old as his son. Six years ago, he was five times as old as his son. Find their current age

Answer : son is 12 years, and the father is 36 years.

Step-by-step explanation : Define F as fathers age and S as sons age right now.

Then now they are

(1) 3S = F

and six years ago they were

(2) 5 * (S-6) = F-6

calculate 5 * (S-6)

5S - 30 = F-6

Subtract left and right side by - F

Add 30 to left and right side

5S - F = 24

Put (2) 3S = F into the equation above

5S - 3S = 24

2S = 24

S = 12

insert result in (2) 3S = F

3*12 = F

36 = F

So the son is 12 years, and the father is 36 years.

The son is 12 years, and the father is 36 years.

Step-by-step explanation:

Define F as fathers age and S as sons age right now.

Then now they are

(1) 3S = F

and six years ago they were

(2) 5 * (S-6) = F-6

calculate 5 * (S-6)

5S - 30 = F-6

Subtract left and right side by - F

Add 30 to left and right side

5S - F = 24

Put (2) 3S = F into the equation above

5S - 3S = 24

2S = 24

S = 12

insert result in (2) 3S = F

3*12 = F

36 = F

So the son is 12 years, and the father is 36 years.