SOLUTION: A is half as old as b and b is half as old as c.the sum of their ages is 105 years calculate the ages of a,b,c?

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Question 939423: A is half as old as b and b is half as old as c.the sum of
their ages is 105 years calculate the ages of a,b,c?
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!
given:
a=b%2F2
b=c%2F2+
a%2Bb%2Bc=105
solution:
=> if b=c%2F2 then a=b%2F2=%28c%2F2%29%2F2=c%2F4
a%2Bb%2Bc=105 ...substitute a and b expressed in terms of c
c%2F4%2Bc%2F2+%2Bc=105 ....solve for c
4c%2F4%2B4c%2F2+%2B4c=105+%2A4
c%2B2c%2B4c=420
7c=420
c=420%2F7
highlight%28c=60%29

now find a and b
b=c%2F2 => b=60%2F2 => highlight%28b=30%29
a=b%2F2 => a=30%2F2 => highlight%28a=15%29