Question

Priya’s mother is four times as old as

Priya. Twenty

years later, she will be

just twice as old as Priya will be then.

Find the present age of Priya.

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Answer 1

let Priya's age be x

let her mother's age be y

current scenario,

4x = y                                                           (1)

20 years later,

2 (x +20) = 20 + y

⇒ 2x + 40 = 20 + y                                     (2)

substituting value of y in (2)

2x + 40 = 20 + y

⇒ 2x + 40 = 20 + 4x

⇒ 2x - 4x = 20 - 40

⇒ -2x = -20

⇒ 2x = 20

⇒ x = 20/2

⇒ x = 10

therefore, the present age of Priya is 10 years

Answer 2

Answer:

40 years

Step-by-step explanation:

Let present age of Rakhi = x years

Present age of Mother = 4x

5 years later

Age of Rakhi =x+5

Ag of Mother =4x+5

Given 4x+5=3(x+5)

4x−3x=15−5

⇒x=10

Mother's age =4x=40 years