An egg vendor calls on his first customer and sells half his eggs and half an egg To the - Maths - Mathematical Reasoning

Question

An egg vendor calls on his first customer and sells half his eggs
and half an egg To the second customer, he sells half of what he
has left with and half an egg, and to the third customer , he sells
half of what he was then left with and half an egg however, he did
not break any egg If in the end, the vendor was left with three
eggs the what number of eggs did he have initially?
a)26 (b)31 (c)39 (d) none of these

Shivam Mishra · Accepted Answer

Dear Student,
Please find below the solution to the asked query:

The trick lies in the statement that he does not break any egg
Let number of eggs be x
He sells x2+12 eggs to first customer
Hence he is left withx-x2+12=x-x2-12=x2-12=x-12Similarly after dealing with second customer, he is left with x-1-22×2=x-34Similarly after dealing with third customer, he is left with x-3-42×4=x-78According to questionx-78=3⇒x-7=24⇒x=24+7=31 Answer

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