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?

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Answer 1 · 2018-05-22T00:05:34

Nadia is $5$ years old.

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 $4 * n = 4n$

So $36 = 16 + 4n$

We can now solve for $n$ .

First, subtract $color(blue)16$ from both sides of the equation:
$36 quadcolor(blue)(-quad16) = 16 + 4n quadcolor(blue)(-quad16)$

$20 = 4n$

Divide both sides by $color(blue)4$ :
$20/color(blue)4 = (4n)/color(blue)4$

$5 = n$

Therefore, Nadia is $5$ years old.

Hope this helps!