Answer:
The age of Anis mother in year [tex]2021[/tex] is [tex]48[/tex] years.
Step-by-step explanation:
The given statement is that the mother was [tex]32[/tex] years old when Anis was born, which means that Anis was zero year old.
After [tex]x[/tex] years, Anis is [tex]x[/tex] years old, in year [tex]2021[/tex], so her mother will also grow by [tex]x[/tex] years, so her mother's age will become [tex](32+x)[/tex] year.
But Anis mother's age is now [tex]3[/tex] times her age when she is [tex]x[/tex] years old, so her mother's age is [tex]3x[/tex] years, in year [tex]2021[/tex].
But her mother's age is also [tex](32+x)[/tex] years, in year [tex]2021[/tex].
So, the equation will become,
[tex]\begin{aligned}3x&=32+x\\3x-x&=32\\2x&=32\\x&=16\end{aligned}[/tex]
Her mother's age in year 2021 is,
[tex]\begin{aligned}3x&=3(16)\\&=48\:\rm{yrs}\end{aligned}[/tex]
