Question : Direction: The age of the father 4 years ago was 8 times the age of his son. At present, the father's age is 4 times that of his son. Find the present age of son.
Option 1: 9 years
Option 2: 7 years
Option 3: 14 years
Option 4: 18 years
Correct Answer: 7 years
Solution : Let the present age of the son be x years.
So, father's present age = 4x.
The age of the father 4 years ago was 8 times the age of his son
age of son 4 years ago = (x – 4) years.
age of father 4 years ago = (4x – 4) years.
⇒ 8 (x – 4) = 4x – 4
⇒ 8x – 32 = 4x – 4
⇒ 4x = 28
⇒ x = 7
So, the present age of the son is 7 years.
Hence, option second is correct.
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