Question

neha's mother was four times her age 12 years ago. she will be twice as old as neha 12 years from now. what is the present age of neha's mother ?

Answer 1

$\bf{Solution}$

$\textbf{Let the present age of Neha be X years}$

$\textbf{Neha's age 12 years ago }$

$\textbf{= (x – 12) years}$

$\textbf{Therefore, her mother's age 12 years ago}$

$\textbf{= 4(x – 12)}$

$\textbf{Her mother's present age}$

$\textbf{ = 4x – 48 + 12 = 4x – 36}$

$\textbf{=Neha's age after 12 years = x + 12}$

$\textbf{Her mother's age after 12 years}$

$\textbf{= 4x – 36 + 12}$

$\textbf{= 4x – 24}$

$\boxed{\bold{A/Q}}$

$\textbf{4x – 24 = 2(x + 12)}$

$\textbf{4x – 2x = 24 + 24}$

$\textbf{x = 24}$

$\textbf{Therefore,present age of Neha }$

$\textbf{= 24 years}$

$\textbf{Present age of Neha's mother}$

$\textbf{= 4x – 36 = 4(24) – 36 }$

$\textbf{= 60 years}$