Question

The sum of Present ages of father and his son is 60 years. Six

years ago, the age of father was five times the age of son. Find thepresent age of father and son​

Answer 1

Answer:

Father's age = 46

son's age = 20

Explanation:

Assume ‘x’ as the son’s age while ‘y’ is the father’s age. We have two statements:

x+y= 60

y-6= 5(x-6)

Let’s isolate y in both equations:

y=60-x

y=5(x-6)+6 → y= 5x-30+6 → y= 5x-24

Equal one to the other since they are both equal to y and solve it:

60-x=5x-24

84=6x

x=14

With this we have the son’s age now. Add 6 and you have his age after 6 years, 20 years old.

Father's age = 5×14 - 24 = 46