Question

devi s mother is three times devi s age . five years ago devi smother was four times as old a devi was then find there present ages​

Answer 1

${ \huge{ \underline{ \underline{ \sf{ \green{GivEn : }}}}}}$

• Devi's mother is three times Devi's age .

• Five years ago, Devi's mother was four times as old a Devi .

${ \huge{ \underline{ \underline{ \sf{ \green{To \: find :}}}}}}$

• What are the present ages of Devi and her mother's age?

${ \huge{ \underline{ \underline{ \sf{ \green{SoluTion : }}}}}}$

Let Devi's age be x years.

Given that,

Devi's mother is three times Devi's age .

Then,

Devi's mother age will be = 3x

Again, it's given that

Five years ago Devi's mother was four times as old a Devi .

Five years ago,

Age of Devi = x - 5

Age of Devi's mother = 3x - 5

According to the question :-

⟶ 3x - 5 = 4(x - 5)

⟶ 3x - 5 = 4x - 20

⟶ -5 + 20 = 4x - 3x

⟶ x = 15

Hence,

Present Age of Devi x = 15 years

Present age of Devi's mother = 3x = 45 years.