Translate this situation into a system of equations of the first degree in two variables and make sure you identify the variables clearly:
Today, the difference in age between a father and his son is 23 years. Two years from now, the father's age will be double the age of his son in two years' time.
f = s+23
f+2 = 2(s+2)
To translate this situation into a system of equations in two variables, let's identify the variables first.
Let "x" represent the current age of the son.
Let "y" represent the current age of the father.
Based on the given information, we can set up two equations:
1) "Today, the difference in age between a father and his son is 23 years."
This can be expressed as y - x = 23.
2) "Two years from now, the father's age will be double the age of his son in two years' time."
In two years, the son's age will be x + 2, and the father's age will be y + 2.
This can be expressed as y + 2 = 2(x + 2).
Therefore, the system of equations representing this situation is:
y - x = 23,
y + 2 = 2(x + 2).