SOLUTION: The age of the father is 3 years more than 3 times the age of his son. After there years the age of the father will be 10 years more than twice the age of the son. Find their prese

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Question 534499: The age of the father is 3 years more than 3 times the age of his son. After there years the age of the father will be 10 years more than twice the age of the son. Find their present ages?
Solution?
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
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The age of the father is 3 years more than 3 times the age of his son.
After three years the age of the father will be 10 years more than twice the age of the son.
Find their present ages?
:
let f = the father's age
let s = the son's age
:
write an equation for each statement;
:
"The age of the father is 3 years more than 3 times the age of his son."
f = 3s + 3
:
"After three years the age of the father will be 10 years more than twice the age of the son."
f + 3 = 2(s+3) + 10
f + 3 = 2s + 6 + 10
f = 2s + 16 - 3
f = 2s + 13
:
from the 1st statement, replace f with (3s+3)
3s + 3 = 2s + 13
3s - 2s = 13 - 3
s = 10 yrs is the son's age
find Dad's age
f = 3(10) + 3
f = 33 yrs is Dad's age
:
:
Check this in the statement:
"After there years the age of the father will be 10 years more than twice the age of the son. "
33 + 3 = 2(10+3) = 10
36 = 26 + 10