Correct Answer - Option 4 :
100 years
Given:
Anjali’s father is five times Anjali’s present age,
Four years back, Anjali’s father was six times as old as Anjali was at that time.
Calculation:
Let present age of Anjali be x
Then present age of Anjali’s father will be 5x
4 years ago,
Anjali’s age was (x – 4) years and Anjali’s father age was (5x – 4) years
According to the Question,
5x – 4 = 6(x – 4)
⇒ 5x – 4 = 6x – 24
⇒ 5x – 6x = 4 – 24
⇒ -x = -20
⇒ x = 20
5x = 5 × 20 = 100
∴ The present age of Anjali’s father is 100 years.