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if Cheryl's age is C and Ben's is B.

C - 6 = 2B

C + 17 + B + 17 = 115

so

C + B = 81

2C + 2B = 162

2C + (C-6) = 162

3C - 6 = 162

3C = 168

C = 56

so

B = 25

C=56

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