Question

Mother is $25$ years older than Asmi. After $15$ years, mother will be twice Asmi's age. Find their present ages.

Answer 1

$\Rightarrow$Let Asmi's present age $x$ than her mother's age $x+25$

$\Rightarrow$After $15$ years, Asmi's age $=x+15$

$\Rightarrow$After $15$ years, Asmi's mother's age $=x+40$

According to condition

$\Rightarrow$$2(x+15)=x+40$

$\Rightarrow$$x=10$ years

$\Rightarrow$$Mothe{r}^{\prime }sage=x+25=10+25=35$ years

Hence, Asmi's present age is $10$ years and her mother's present age is $35$ years.