SOLUTION: barbie, judy, and sulty all have birthdays in the same day. barbie's present age is two years less than the sum of judy and sulty's age. in 5 years, barbie will be twice as old as

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Question 261624: barbie, judy, and sulty all have birthdays in the same day. barbie's present age is two years less than the sum of judy and sulty's age. in 5 years, barbie will be twice as old as judy will be then. two years ago, judy was half as old as sulty was. how old is each now?
Answer by mananth(16946) About Me  (Show Source):
You can put this solution on YOUR website!
Let their ages be as follows.
Barbie =x
Judy=y
Sulty=z
X=(y+z—2)
X+5=2(y+5)
y-2=1/2*(z-2)
Simplify all the equations
x-y-z=-2 ----1
x-2y=5 ------2
2y-z=2-------3
Solve eq 2 &3 Add 2&3
We get x-z=7
X=z+7
Substitute the value of x in equation 1
z+7 –y-z=-2
y=9
x-2*y= =5 -----2
x-18=5
x=23
z=16