Question

Pleasee helppp me

In 2021 the age of Anis is x years . She is born when her mother was 32 years old. Her mother's age is now 3 times her age . Find the age of her mother , in years , in 2021 .

Answer 1

The age of Anis mother in year
`2021` is
`48` years.

Explanation:

The given statement is that the mother was
`32` years old when Anis was born, which means that Anis was zero year old.

After
`x` years, Anis is
`x` years old, in year
`2021`, so her mother will also grow by
`x` years, so her mother's age will become
`(32+x)` year.

But Anis mother's age is now
`3` times her age when she is
`x` years old, so her mother's age is
`3x` years, in year
`2021`.

But her mother's age is also
`(32+x)` years, in year
`2021`.

So, the equation will become,

`\begin{aligned}3x&=32+x\\3x-x&=32\\2x&=32\\x&=16\end{aligned}`

Her mother's age in year 2021 is,

`\begin{aligned}3x&=3(16)\\&=48\:\rm{yrs}\end{aligned}`