Question

The age of mother is thrice that of her daughter. After 12 years, the age of the mother will be twice that of her daughter. What is the present age of the daughter and mother by substitution method?
No spaming!!!!!
because i've given more than enough points for detailed answer ​

Answer 1

Given:-

The age of mother is thrice that of her daughter. After 12 years, the age of the mother will be twice that of her daughter.

To Find:-

• present age of the daughter and mother.

Solution:-

Let The Daughter's age be x.

as It is given that The age of mother is thrice that of her daughter.

So, Mother's age=3x.

According to the Question

After

12 years the daughter's age will be= x+12

and

Mother's age after 12 years will be= 3x+12

It is also Given That :

After 12 years the Mother's age will be twice of her daughter's age

$\sf \therefore 3x + 12 = 2(x + 12)$

$= > 3x + 12 = 2x + 24$

$= > 3x - 2x = 24 - 12$

$= > x = 12$

And Mother's age = 3x= 3*12=36

∴ the present age of the daughter is 12years.

And Mother's age is 36 years.

Answer 2

Answer:

Given:-

The age of mother is thrice that of her daughter. After 12 years, the age of the mother will be twice that of her daughter.

To Find:-

present age of the daughter and mother.

Solution:-

Let The Daughter's age be x.

as It is given that The age of mother is thrice that of her daughter.

So, Mother's age=3x.

According to the Question

After

12 years the daughter's age will be= x+12

and

Mother's age after 12 years will be= 3x+12

It is also Given That :

After 12 years the Mother's age will be twice of her daughter's age

\sf \therefore 3x + 12 = 2(x + 12)∴3x+12=2(x+12)

= > 3x + 12 = 2x + 24=>3x+12=2x+24

= > 3x - 2x = 24 - 12=>3x−2x=24−12

= > x = 12=>x=12

And Mother's age = 3x= 3*12=36

∴ the present age of the daughter is 12years.

And Mother's age is 36 years.