SOLUTION: Please help me solve this problem: What is a son's age if his mother is twice his age and she is 5 years younger than his father. Added togther, the son, mother and fathers ages

Question 821235: Please help me solve this problem:
What is a son's age if his mother is twice his age and she is 5 years younger than his father. Added togther, the son, mother and fathers ages add up to 100.
Thanks and regards
Steve
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
Let s = son's age
Let m = mother's age
let f = father's age
:
Write an equation for each statement; arrange equations to get it in terms of m:
:
What is a son's age if his mother is twice his age
m = 2s
divide both sides by 2
s = .5 m
:
and she is 5 years younger than his father.
m = f-5
add 5 to both sides
f = m+5
:
Added together, the son, mother and fathers ages add up to 100.
s + m + f = 100
replace s * f
.5m + m + m+5 = 100
2.5m = 100 - 5
2.5m = 95
m = 95/2.5
m = 38 is Mom's age
I'll let you find s and f, check that they add up to 100
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