SOLUTION: Baichung's father is 26 years younger than Baichung's grandfather and 29 years more than Baichung. The sum of all the three ages is 135. What is the age of each one of them?

Question 968559: Baichung's father is 26 years younger than Baichung's grandfather and 29 years more than Baichung. The sum of all the three ages is 135. What is the age of each one of them?
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
s = the son's age
f = father's age
g = grandfather's age
:
write an equation for each statement. Arrange equations to be in terms of f
:
Baichung's father is 26 years younger than Baichung's grandfather
g = f + 26
and 29 years more than Baichung.
s = f - 29
The sum of all the three ages is 135.
s + f + g = 135
Replace g with (f+26) and replace s with (f-29)
(f-29) + f + (f+26)
3f - 3 = 135
3f = 138
f = 138/3
f = 46 yrs is father's age
then
46 + 26 = 72 yrs is grandfather's age
and
46 - 29 = 17 yrs is son's age
:
:
Confirm this, see if it all adds up
17 + 46 + 72 = 135
What is the age of each one of them?
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