Mrs. Hill is 4 years older than twice her sons age. If the sum of their age is 50, how old is her son?

Let x = the son's age.

x + 2x + 4 = 50

To find the age of Mrs. Hill's son, we can set up an equation based on the given information. Let's assume the age of the son is represented by "x".

According to the problem, Mrs. Hill is 4 years older than twice her son's age. Therefore, her age can be represented as "2x + 4".

The sum of their ages is stated to be 50. So we can set up the equation: x + (2x + 4) = 50.

Simplifying the equation, we have 3x + 4 = 50.

We can solve this equation to find the value of "x", which represents the son's age.

Subtracting 4 from both sides of the equation: 3x = 46.

Dividing both sides of the equation by 3: x = 46/3.

However, since the son's age must be a whole number, we need to round the answer. Rounded to the nearest whole number, the son's age is approximately 15 years old.