How old am I if 600 reduced by 3 times my age is 542?

Let's denote your age as x.

The expression "3 times my age" can be written as 3x.

The expression "600 reduced by 3 times my age" can be written as 600 - 3x.

According to the given information, this expression equals 542:

600 - 3x = 542

To find your age, we can solve this equation:

-3x = 542 - 600

-3x = -58

Dividing both sides by -3:

x = (-58) / (-3)

x = 19.33 (rounded to two decimal places)

Therefore, you are approximately 19.33 years old.