How old am I if 500 reduced by 4 times my age is 288?

1 Answer
Mar 10, 2018

53.

Explanation:

Let's substitute the variable "x" for your age.

If 500 reduced by 4 times your age is 288, then the equation #500 - 4x = 288#.

If you take away 288 from both sides of the equation, you get:
#212 - 4x = 0#.

If you add 4x to both sides of the equation, you get 212 = 4x.

If you divide both sides of the equation by 4, you get 53 = x.

So, if 500 reduced by 4 times your age is 228, then you are 53.