SOLUTION: Father is older than a mother by 5yrs and a child has a half of her mother's year when we calculate all ages must give us 100. How old is father,mother and child?

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Question 1037920: Father is older than a mother by 5yrs and a child has a half of her mother's year when we calculate all ages must give us 100. How old is father,mother and child?
Answer by josgarithmetic(39618) About Me  (Show Source):
You can put this solution on YOUR website!
x and y Mother and Father
c for Child

Father is older than a mother by 5yrs
y=x%2B5


and a child has a half of her mother's year
c=x%2F2


when we calculate all ages must give us 100.
x%2By%2Bc=100

Solve the system of equations, system%28y=x%2B5%2Cc=x%2F2%2Cx%2By%2Bc=100%29.