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Let n be the number of sweets Helen has at first.

She ate (n/9 + 8) sweets, so she has (8n/9 – 8) sweets left.

After giving to her brother, the remaining sweets she has are

5/8(8n/9 – 8) – 10 = 45
=> 5n/9 – 5 – 10 = 45
=> 5n/9 – 15 = 45
=> 5n/9 = 60
=> n = 108 #

 

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