Verified answer

Answer: The ages of father and son are 40 and 15 respectively

Explanation:

Let the age of father be x and son be y

Since father is 25 years older than his son

x = y + 25

Also since father was 6 times his son's age 10 years ago

x - 10 = 6(y - 10)
⇒ x - 10 = 6y - 60
⇒ x - 6y = 10 - 60
⇒ (y + 25) - 6y = -50       ;(x = y + 25)
⇒ -5y = -75
⇒ y = 75/5 = 15

x = y + 25 = 15 + 25 = 40

Hence the age of father is 40 and son is 15

Hope it helped