1212\frac{1}{2} of the diamonds he had then and 2 more besides. He escaped with one diamond. How many did he steal originally?
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1212\frac{1}{2} of the diamonds he had then and 2 more besides. He escaped with one diamond. How many did he steal originally?
" />
1212\frac{1}{2} of the diamonds he had then and 2 more besides. He escaped with one diamond. How many did he steal originally?
" />
At last thief is left with one diamond.Hence, the number of diamonds before he gave some diamonds to the third watchman,=x−((x2)+2)=1;Or,(x−4)2=1Or,x=6Hence,hehad6diamondsbeforehegave5tothethirdwatchman.Similarly number of diamonds before giving to second watchman,(x−4)2=6;Or,x=16.Andnumberofdiamondsbeforegivingtothefirstwatchman,(x−4)2=16;Or,x=36∴Thethiefhasstolen36diamondsoriginally
of the diamonds he had then and 2 more besides. He escaped with one diamond. How many did he steal originally?
",
"text": "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 thief met each watchman, one at a time. To each he gave
12
of the diamonds he had then and 2 more besides. He escaped with one diamond. How many did he steal originally?
",
"dateCreated": "7/24/2019 10:09:12 AM",
"author": {
"@type": "Person",
"name": "Nitin Sir"
},
"answerCount": "4",
"acceptedAnswer": {
"@type": "Answer",
"text": "
Solution:
At last thief is left with one diamond.Hence, the number of diamonds before he gave some diamonds to the third watchman,=x−((x2)+2)=1;Or,(x−4)2=1Or,x=6Hence,hehad6diamondsbeforehegave5tothethirdwatchman.Similarly number of diamonds before giving to second watchman,(x−4)2=6;Or,x=16.Andnumberofdiamondsbeforegivingtothefirstwatchman,(x−4)2=16;Or,x=36∴Thethiefhasstolen36diamondsoriginally
At last thief is left with one diamond.Hence, the number of diamonds before he gave some diamonds to the third watchman,=x−((x2)+2)=1;Or,(x−4)2=1Or,x=6Hence,hehad6diamondsbeforehegave5tothethirdwatchman.Similarly number of diamonds before giving to second watchman,(x−4)2=6;Or,x=16.Andnumberofdiamondsbeforegivingtothefirstwatchman,(x−4)2=16;Or,x=36∴Thethiefhasstolen36diamondsoriginally
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