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Question
Pavani has a certain number of chocolates; she gave one-third of the chocolates to her brother Arjun, one-sixth to her friend Preeti. She was then left with 30 chocolates. What is the sum of the number of chocolates did she give to Arjun and Preeti?
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Answer:
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Let the number of chocolates Pavani has be x.
x3 are given to Arjun. So now she is left with xx3=2x3 chocolates
She gave x6 to Preeti. So, she is left with 2x3 - x6 = 4x6 - x6 = 3x6 = x2
So, x2=30
x=30×2=60
Initially, Pavani had 60 chocolates. She gave 13rd i.e. 603 =20 to Arjun.
16th i.e. 10 chocolates to Preeti.
Sum = 10 + 20 = 30

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