Question

Rashmi mother isfour time as old as Rashmi after 5year her mother will be three times as old as she will be then find their presents ages​

Answer 1

$\bold{\large{\underline{\underline{\sf{StEp\:by\:stEp\:explanation:}}}}}$

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

$\tt\orange{After\:5\:years}$

Age of Rashmi = (x + 5) years

Age of Rashmi's mother = (y + 5) years

$\tt\orange{According\:to\:quetion}$

Rashmi mother is four time as old as Rashmi.

After 5 years her mother will be three times as old as she.

Here are two cases in this question.

Case 1)

Rashmi mother is four time as old as Rashmi.

→ $\tt{y\:=\:4(x)}$

→ $\tt{y\:=\:4x}$ _______________(1)

Case 2)

After 5 years her mother will be three times as old as she.

→ $\tt{y\:+\:5\:=\:3(x\:+\:5)}$

→ $\tt{4x\:+\:5\:=\:3x\:+\:15}$_________ [From eqn (1)]

→ $\tt{4x\:-\:3x\:=\:15\:-\:5}$

→ $\tt\orange{x\:=\:10}$

By using the value of x = 10 in equation tex]\tt{y\:=\:4x}[/tex]

→ $\tt{y\:=\:4(10)}$

→ $\tt\orange{y\:=\:40}$

Hence , Age of Rashmi is 10 years and age of Rashmi's mother is 40 years.