Question

Rakhi's mother is 4 times as old as rakhi. after 5 years, her mother will be 3 times as old as she will be then. fins their present ages.

Answer 1

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Answer 2

Answer:

The present age of Rakhi's mother is 40 years and Rakhi's age is 10 years.

Given:

• Rakhi's mother is 4 times as old as Rakhi.

• After 5 years, her mother will be 3 times as old as she will be then.

To find:

• Their present ages.

Solution:

Let the present age of Rakhi's mother be x years and her age be y years.

According to the first condition.

》 x = 4y

》x - 4y = 0...(1)

According to the second condition.

》(x + 5) = 3(y + 5)

》x + 5 = 3y + 15

》x - 3y = 10...(2)

Subtract equation (2) from equation (1)

⠀x - 4y = 0

-

⠀x - 3y = 10

____________

⠀⠀》 - y = - 10

⠀⠀》y = 10

Substitute y = 10 in equation (1), we get

⠀⠀=> x - 4(10) = 0

⠀⠀=> x = 40

Therefore, the present age of Rakhi's mother is 40 years and Rakhi's age is 10 years.