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?
:
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