Question

Shraddha is 40 years old and Smita is 20 years old how many years ago was Shraddha three times as old as Sumita

Answer 1

$\textbf{ Let x years ago Shradhha was three times as old as Sumita }$

According to the question ,

⇒ Age of Shradhha x years ago = 3( Age of Sumita x years ago  )

⇒ ( 40 - x  ) = 3( 20 - x )

⇒ 40 - x = 60 - 3x

⇒ 3x - x = 60 - 40

⇒ 2x =20

⇒ x = 20 ÷ 2

⇒ x = 10

$\mathBbn{Hence,}\\ \\ \boxed{\boxed{\textbf{\underline{Shradhha's age was 3 times of Sumita's age 10 years ago. }}}}$

Answer 2

⬛◼️$\bold {Happy~Hindi~Day}$◼️⬛


$\bold {\huge {Solutions :-}}$

Let x years ago Shraddha was three times as old as Sumita.

Now,
Age of Shradhha x years ago = 3( Age of Sumita x years ago  )

$\bold {A/q}$

$\bold {=> (40-x) = 3(20-x) }$

$\bold {=> 40 - x = 60 - 3x }$

$\bold {=> 3x - x = 60 - 40 }$

$\bold {=> 2x =20 }$

$\bold {=> x = 10 }$

$\bold {Hence, }$

$\bold {Shraddha~ age ~was~ three~ times~ of }$
$\bold {Sumita's~age ~10 ~years ~ago. }$