The present age of 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. What is the present age of Anjali’s father?
The present age of 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. What is the present age of Anjali’s father? Correct Answer <span style=" line-height: 107%; background-image: initial; background-position: initial; background-size: initial; background-repeat: initial; background-attachment: initial; background-origin: initial; background-clip: initial;">100 years</span>
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.