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.

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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) About Me  (Show Source):
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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:
F+%2B+S+=+44
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:
%28F%2B8%29+=+2%28S%2B8%29
Having two equations, this system of equations can be solved.
F+=+44+-+S
%2844+-+S+%2B+8%29+=+2%28S%2B8%29
52+-+S+=+2S+%2B+16
36+=+3S
S+=+12
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.
+F+%2B+12+=+44
+F+=+32
Or
%28F%2B8%29+=+2%28S%2B8%29
%28F%2B8%29+=+2%2812%2B8%29
%28F%2B8%29+=+40
F+=+32
Therefore, the age of the father is 32 years old.