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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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Solution

Let the number of chocolates Pavani has be x.
x3 are given to Arjun. So now she is left with xx3 = (2x - 3) 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 has 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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