Question

Father is 30 years older than his son. If after 6 years the ratio of father’s age to son’s age is 3:1 , find the son’s age​

Answer 1

Answer:

Let the age of son be x years.

Thus, age of father is x+25 years.

After 8 years, their ages will be

Age of son x+8 and age of father x+25+8=x+33.

The ratio of their ages is 13:8.

Therefore,

x+8

x+33

=

8

13

⇒8(x+33)=13(x+8)

⇒8x+264=13x+104

⇒13x−8x=264−104

⇒5x=160

⇒x=32

Age of son is 32 years.

Thus, age of father is x+25=32+25=57 years.