Question

Meera's mother is four times as old as Meera. After five years her mother will be three times as old as she will be then. What are their present ages? ​

Answer 1

EXPLANATION.

Let the age of meera's mother be = x years.

Let the age of meera's be = y years.

Meera's mother is 4 times as old as meera.

=> x = 4y ........(1)

After 5 years, her mother will be

three times as old as she will be then.

=> Let the present age of meera's mother

( x + 5 ) years.

=> Let the present age of meera's = ( y + 5 )

years.

=> ( x + 5 ) = 3 ( y + 5 )

=> x + 5 = 3y + 15

=> x - 3y = 10 ...... (2)

from equation (1) and (2) we get,

put the value of equation (1) in (2) we get,

=> 4y - 3y = 10

=> y = 10

put the value of y = 10 in equation (1)

we get,

=> x = 4(10)

=> x = 40 years.

Therefore,

present age of meera's mother = x = 40 years.

present age of meera's = y = 10 years.

Answer 2

Step-by-step explanation:

Let the present age of meera be x years and present age of merra's mother be y years.

• It is given in the question that meera's mother is four times as old as Meera :]

➴ y = 4x........(Equation [1])

After 5 years,

• Age of meera = (x + 5) years.

• Age of merra's mother = (y + 5) years.

➴ (y + 5) = 3(x + 5)............(Equation [2])

Now, Putting equation (1) in equation (2) we get :

➳ 4x + 5 = 3x + 15

➳ 4x - 3x = 15 - 5

➳ x = 10 years

Now, Putting the value of x = 10 in equation (1) we get :

➳ y = 4x

➳ y = 4(10)

➳ y = 40 years

Therefore,

• Present Age of meera = 10 years.

• Present Age of merra's mother = 40 years.