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Jilliyn is four years younger than Romeo. Romeo is five years older than Aeneas. Aeneas is ⅖ of Catherine’s age. The sum of their ages is 28. Write and solve an algebraic equation to find their ages.

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Answer:

Catherine is 10, Aeneas is 4, Romeo is 9 and Jilliyn is 5

Step-by-step explanation:

Let Catherine's age be x, so Aeneas' age is 2/5x, Romeo's age is 2/5x+5 and Jilliyn's age is 2/5x+5-4, which is 2/5x+1.

The sum is 28, so x+2/5x+2/5x+5+2/5x+1=28, 11/5x+6=28, 11/5x=22, x=10

So, Catherine is 10, Aeneas is 4, Romeo is 9 and Jilliyn is 5

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