Cynthia has three children whose ages add up to 35. Matthew is two years older than Rebecca and four years younger than Freddy. How many years old is Freddy? Let's think step by step and output the final answer after "####".
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Let A be Matthew’s age.
Rebecca is A - 2 years old.
Freddy is A + 4 years old.
Their ages add up to 35, so A + A - 2 + A + 4 = 3A + 2 = 35.
Therefore, 3A = 35 - 2 = 33.
Matthew is A = 33 / 3 = <<33/3=11>>11 years old.
Thus, Freddy is 11 + 4 = <<11+4=15>>15 years old.
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Cynthia has three children whose ages add up to 35. Matthew is two years older than Rebecca and four years younger than Freddy. How many years old is Freddy?
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