Question

preeti's mother is thrice as old as preeti after 12 years.she will be twice as her daughter.find their present ages.​

Answer 1

let present age of preeti x

and her mother age be 3x

after 12years

(3x-12)=2(x-12)

3x-12=2x-24

3x-2x=-24+12

x=-12

the age of preeti 12

and her mother age=3x=3×12=36

Answer 2

$\textbf{\underline{\underline{Answer :-}}}$

The age of Preeti's mother is 36 years and Preeti is 12 Years old.

$\textbf{\underline{\underline{Explanation :-}}}$

Given :

Preeti's mother's age = Thrice of the age of Preeti

12 years hence = Mother's age would be twice of Preeti's age.

To find :

Their present ages

Solution :

⛤ Present day :-

Consider the age of Preeti as x

Mother would be = 3x

⛤ 12 Years hence :-

Preeti = x

Mother = 2x

$\star$ Equation :-

$\boxed{\sf{12+(3x+x)=x+2x}}$

$\tt{\implies} \: 12 + (3x + x) = x + 2x$

$\tt{\implies} \: 12 + 4x = 3x$

$\tt{\implies} \: 4x - 3x = 12$

$\tt{\implies}\red{\: x = 12}$

Preeti's present age = 12 Years

⛤ Value of 3x

$\tt{\implies} \: 12 \times 3$

$\tt{\implies}\red{\: 36}$

$\therefore$ The age of Preeti's mother is 36 years and Preeti is 12 Years old.

$\rule{300}{1}$