Question

Three years ago, Anju’s age was five times Jyoti’s are. However, six years later, Anju will be
twice as old as Jyoti. What is the present age of Anju?

Answer 1

Answer:

8 years

Step-by-step explanation:

See the attached file for steps

Answer 2

Step-by-step explanation:

Solution :

★ Consider,

• Three years ago,

Jyoti’s age = x

Anju’s age = 5x

• Present age :

Jyoti’s Present age = x + 3

Anju’s Present age = 5x + 3

• Six years later,

Jyoti’s age = x + 3 + 6

Anju’s age = 5x + 3 + 6

Also,

Anju will be twice as old as Jyoti.

★ According to the Question :

⇒ (5x + 3 + 6) = 2 (x + 3 + 6)

⇒ 5x + 9 = 2 (x + 9)

⇒ 5x + 9 = 2x + 18

⇒ 5x - 2x = 18 - 9

⇒ 3x = 9

⇒ x = 9 ÷ 3

⇒ x = 3

Jyoti's age (Three years ago) = 3 years

___________________________

• Jyoti’s Present age = x + 3

⇒ 3 + 3

⇒ 6

Jyoti’s Present age = 6 years

___________________________

• Anju’s Present age = 5x + 3

⇒ 5 (3) + 3

⇒ 15 + 3

⇒ 18

Anju’s Present age = 18 years

Therefore, Anju’s Present age is 18 years