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?

1 Answer
May 22, 2018

Answer:

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!