Question

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?

Answer 1

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 * 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!