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CBSE Class 10 Answered

The owner of a local jewellery store hired 3 watchmen to guard his diamonds, but a thief still got in and stole some diamonds. On the way out,the theif met each watchman, one at a time. To each he gave 1/2 of the diamonds had then, and 2 more besides. He escaped with one diamond. How many did he steal originally?
Asked by rushabhjain.avv | 07 Feb, 2019, 21:48: PM
answered-by-expert Expert Answer
 
Let the thief originally steal x diamond.
 
According to the condition,
 
No of dimonds(1st wathchman) = begin mathsize 16px style straight x over 2 end style
No of dimonds(2nd wathchman) = begin mathsize 16px style fraction numerator begin display style straight x over 2 end style over denominator 2 end fraction equals straight x over 4 end style
No of dimonds(3rd wathchman) = begin mathsize 16px style fraction numerator begin display style straight x over 4 end style over denominator 2 end fraction equals straight x over 8 end style
He escaped with one diamond.
begin mathsize 16px style straight x over 8 equals space 1 rightwards double arrow straight x space equals space 8 end style

Therefore the thief originally steal 8 diamond.
Answered by Yasmeen Khan | 08 Feb, 2019, 10:54: AM

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