Question

13. Devi’s mother is three times as old as Devi. Five years ago, Devi’s mother was four times

as old as Devi was then. Find their present ages


Please do answer step by step in paper ​

Answer 1

✰✰|| Given ||✰✰

• Devi’s mother is three times as old as Devi.

• Five years ago, Devi’s mother was four times as old as Devi

✰✰|| To Find || ✰✰

• Present age of Devi's mother

✪|| Solution ||✪

Let, the devi age be x

age of Devi's mother = 3x

age of Devi's mother 5 years ago = 4x

⇒ 3x - 5 years = 4x - 20 years

⇒ 20 - 5 years = 4x - 3x

⇒ 15 years = x

present age of Devi's mother = 3x

⇒ present age of Devi's mother = 3 × 15 years

⇒ present age of Devi's mother = 45 years

present age of Devi's mother is 45 years

Answer 2

Given :

• Devi’s mother is three times as old as Devi.

• Five years ago, Devi’s mother was four times as old as Devi was then.

To find :

• Their present ages =?

Step-by-step explanation :

Let, Devi’s present age be x years.

Then, Devi’s mother present age be 3x years .

Now,

Five years ago Devi’s age = x - 5 years

Five years ago Devi’s mother age = 3x - 5 years

According to the question :

➮ 4 ( x - 5) = 3x - 5

➮ 4x - 20 = 3x - 5

➮ 4x - 3x = 20 - 5

➮ x = 15

Therefore, We get the value of x = 15 years.

Hence,

Devi’s present age, x = 15 years

Devi’s mother present age, 3x = 3 × 15 = 45 year's