# How do you determine Nadia's age if we're given that Nadia’s father is 36 and is 16 years older than four times Nadia’s age?

May 22, 2018

Nadia is $5$ years old.

#### Explanation:

Let $n$ be Nadia's age.

When it says "is", that means equals, or $=$.

"16 years older" means $16 {+}_{_} {_}_{_} {_}_{_} {_}_{_} _$

"four times Nadia's age" means $4 \cdot n = 4 n$

So $36 = 16 + 4 n$

We can now solve for $n$.

First, subtract $\textcolor{b l u e}{16}$ from both sides of the equation:
$36 \quad \textcolor{b l u e}{- \quad 16} = 16 + 4 n \quad \textcolor{b l u e}{- \quad 16}$

$20 = 4 n$

Divide both sides by $\textcolor{b l u e}{4}$:
$\frac{20}{\textcolor{b l u e}{4}} = \frac{4 n}{\textcolor{b l u e}{4}}$

$5 = n$

Therefore, Nadia is $5$ years old.

Hope this helps!