SOLUTION: my son is 24 years younger than i am and 35 years older than my grandson, together our total ages add up to 100. how old am i? I have seen your answer to riddle'my son is 24 yea

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Question 1105528: my son is 24 years younger than i am and 35 years older than my grandson, together our total ages add up to 100. how old am i?
I have seen your answer to riddle'my son is 24 years younger than i am and 25 years older than my grandson, together our total ages add up to 73. how old am i?' but I don,t understand where/how the number 29 is derived.

Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
S-son's age
Y-your age
G-grandson's age
.
.
1.S=Y-24"son is 24 years younger than I"
2.S=35%2BG"son is 35 years older than my grandson"
3.G%2BS%2BY=100"together our total ages add up to 100"
From 1,
Y=S%2B24
From 2.
G=S-35
Substitute both of these into 3,
%28S-35%29%2BS%2B%28S%2B24%29=100
3S=111
S=111%2F3
Solve for S then use the equations to solve for G and Y.