A leaf is torn from a paper back novel.The sum of the numbers on the remaining pages is 15000.What are the page numbers on the torn leaf?

Question

anonymous · Answer

do u know the sum of all natural numbrs

anonymous · Answer

Is it n(n+1)/2?

anonymous · Answer

yup

anonymous · Answer

now n(n+1)/2>15000

anonymous · Answer

so n^2+n-30000>0

anonymous · Answer

now solve for n =(-1+-sqrt(12001)/2)=172.70 appx (the other value of n being -ve neglected hence n must be greater than 172.7

anonymous · Answer

the least integer greater than 7 is 173

anonymous · Answer

now if there are 173 pages in the book in all then the sum of all the pages would have been   173 *174/2 =15051
but since the sum of the remaining pages is 1500
hence the sum of the torn pages must be 51

anonymous · Answer

since consecutive page numbers only must have been torn ..

anonymous · Answer

a simple guess for 25 and 26 may work here