Question

)4. The sum of the present ages of a father and
his son is 60 years. Six years ago, father's age
was five times the age of the son. After 6
years, son's age will be:
(a) 12 years (b) 14 years
(c) 18 years (d) 20 years​

Answer 1

Step-by-step explanation:

Let the present ages of son and father be x and (60 -x) years respectively.

Then, (60 - x) - 6 = 5(x - 6)

⇒ 54 - x = 5x - 30

⇒ 6x = 84

⇒ x = 14.

∴ Son's age after 6 years = (x+ 6) = 20 years.

D option is the correct option

Answer 2

Step-by-step explanation:

Let father's age=x

let son's age=y

x+y=60

x=60-y

now from eq 2

x-3=5(y-6)

x-6=5y-30

now put value of x

60-y-6=5y-30

54+30=6y

84=6y

y=14