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Let x = the son's age.
x + 2x + 4 = 50
x + 2x + 4 = 50
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.