SOLUTION: The age of the father is 3 years more than 3 times the age of son. After 3 years the age of the father will be 10 years more then twice the age of the son. Find their present ages?

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Question 286003: The age of the father is 3 years more than 3 times the age of son. After 3 years the age of the father will be 10 years more then twice the age of the son. Find their present ages?
Found 2 solutions by ankor@dixie-net.com, okasha:
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
The age of the father is 3 years more than 3 times the age of son.
After 3 years the age of the father will be 10 years more then twice the age of the son.
Find their present ages?
:
Let f = father's present age
Let s = son's present age
:
Write an equation for each statement:
:
"The age of the father is 3 years more than 3 times the age of son."
f = 3s + 3
:
"After 3 years the age of the father will be 10 years more then twice the age of the son."
f + 3 = 2(s+3) + 10
f + 3 = 2s + 6 + 10
f = 2s + 16 - 3
f = 2s + 13
:
Find their present ages?
:
Replace f with (3s+3)
3s + 3 = 2s + 13
3s - 2s = 13
s = 13 yrs is the son's age
then
f = 2(13) + 13
f = 39 yrs is father's age
:
:
Check solution in the statement:
"After 3 years the age of the father will be 10 years more then twice the age of the son."
39 + 3 = 2(13+3) + 10
42 = 2(16) + 10

Answer by okasha(2) About Me  (Show Source):
You can put this solution on YOUR website!
The age of the father is 3 years more than 3 times the age of son.
After 3 years the age of the father will be 10 years more then twice the age of the son.
Find their present ages?
:
Let f = father's present age
Let s = son's present age
:
Write an equation for each statement:
:
"The age of the father is 3 years more than 3 times the age of son."
f = 3s + 3..........1
:
"After 3 years the age of the father will be 10 years more then twice the age of the son."
f + 3 = 2(s+3) + 10.........2
f + 3 = 2s + 6 + 10
f = 2s + 16 - 3
f = 2s + 13
:
Find their present ages?
:
Replace f with (3s+3)
3s + 3 = 2s + 13
3s - 2s = 10
s=10yrs son's age
put value of "s" in eq. 1:
=>
f = 3(10) + 3
f=30+3
f=33yrs father's age