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..........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