SOLUTION: the age of the father is three more than 3 times the age of his son. 3 years hence father's age will be 10 years more than twice the age of the son. Determine their present ages

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Question 891648: the age of the father is three more than 3 times the age of his son. 3 years hence father's age will be 10 years more than twice the age of the son. Determine their present ages
Found 2 solutions by tutor_paul, MathTherapy:
Answer by tutor_paul(519) About Me  (Show Source):
You can put this solution on YOUR website!
To solve this, first represent the words in terms of mathematical equations.
Let F = Present Age of Father
Let S = Present Age of Son
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The first sentence is: "the age of the father is three more than 3 times the age of his son."
This can be represented as an equation as follows:
Equation #1: F=3S
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The second sentence is "3 years hence father's age will be 10 years more than twice the age of the son"
This can be represented as an equation as follows:
Equation #2: F+3=2S+10
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So, now you have 2 equations and 2 unknowns. Anytime you can have a situation where you have as many equations as unknowns, you can solve the problem.
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Substitute The expression for F in Equation #1 into Equation #2:
3S%2B3=2S%2B10
Solve for S:
S%2B3=10
highlight%28S=7%29
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Now substitute this value of the son's age into Equation #1 to find the father's age:
F=3%2A7
highlight%28F=21%29
=====================
Good Luck,
tutor_paul@yahoo.com

Answer by MathTherapy(10552) About Me  (Show Source):
You can put this solution on YOUR website!
the age of the father is three more than 3 times the age of his son. 3 years hence father's age will be 10 years more than twice the age of the son. Determine their present ages


Son's current age:     highlight_green%28highlight_green%2810%29%29

Father's current age:  highlight_green%28highlight_green%2833%29%29

You can do the check!! 



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