SOLUTION: the sum of the age of the father and son is 44 years after 8 years the age of the father will be twice the age of the son .find their ages.

Question 975545: the sum of the age of the father and son is 44 years after 8 years the age of the father will be twice the age of the son .find their ages.
Answer by Nigelyul(18) (Show Source): You can put this solution on YOUR website!
Let "F" be the variable representing the age of the father.
"S" be the variable representing the age of the son.
The sentence:
"The sum of the age of the father and son is 44 years.
Can be expressed in an equation:

Thus the sentence, "After 8 years the age of the father will be twice the age of the son."
Can be expressed in the equation:

Having two equations, this system of equations can be solved.

Therefore, the age of the son is 12 years old.
The age of the father can be solved by using either two of the equations.

Therefore, the age of the father is 32 years old.
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