Question

A father is 28 years older than his son. in 8 years time he will be 3 times as old as his son. how old is the father now?

Answer 1

34 years

Explanation:

f = s + 28 Eq. 1

f+8 = 3(s+8) Eq. 2

f = father age

s = son age

replacing Eq. 1 on Eq. 2

(s+28) + 8 = 3(s+8)

s + 36 = 3*s + 3*8

s + 36 = 3s + 24

36 - 24 = 3s - s

12 = 2s

12/2 = s

s = 6

from the Eq. 1

f = 6 + 28

f = 34

Check

from the Eq. 2

34+8 = 3(6+8)

42 = 3*14