SOLUTION: Sum is half the age of his mother and his mother is five years younger than his father and the sam of all three of their ages is 100. How old is Sum?

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Question 1028060: Sum is half the age of his mother and his mother is five years younger than his father and the sam of all three of their ages is 100. How old is Sum?
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
S=M%2F2
M=2S
.
.
M=F-5
2S=F-5
F=2S%2B5
.
.
S%2BM%2BF=100
Substituting,
S%2B2S%2B2S%2B5=100
5S%2B5=100
5S=95
S=19
So then,
M=2%2819%29
M=38
and
F=38%2B5
F=43