Miranda is a 10th grade student who is very good at problem solving. In fact, she just completed an advanced algebra cl

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Miranda is a 10th grade student who is very good at
problem solving. In fact, she just completed an advanced
algebra class and received a grade of A+. Miranda has five sisters,
Cathy, Stella, Eva, Lucinda, and Dorothea. Miranda made up a
problem involving the ages of the six girls and dared Cathy to
solve it.
Miranda said, “The sum of our ages is five times my age,
(by ’age’ throughout this problem we mean ‘age in years’.)
when Stella is three times my present age, the sum of my age and
Dorothea’s will be equal to the sum of the present ages of
the five of us; Eva’s age will be three times her present age; and
Lucinda’s age will be twice Stella’s present age, plus one
year. How old are Stella and Miranda?”
“Well, Miranda, could you tell me one more thing,
please?” “Sure”, said Miranda, “my age is an odd
number”.
How old are Stella and Miranda?