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

2 years ago


Answers : (1)

                                        Hello student,
Please find the answer to your question below
The sum of the numbers form an arithmetic progression.
So, assuming the number of pages is n, the first is number 1. And number missing are p and p+1 (a leaf is torn so two page numbers missing).
Then Sum of all pages= n/2 (2+n-1) {using the formula of sum of AP with a=1}
The Sum of remaining pages =15000=n/2(2+n-1)-p-(p+1);
=> 15000= n+n^2/2-n/2-2p-1
=> 15000=n^2/2+n/2-2p-1
Thus knowing the total number of pages you can determine p and p+1 numerically.
one month ago

Post Your Answer

More Questions On Algebra

Ask Experts

Have any Question? Ask Experts
Post Question
Answer ‘n’ Earn
Attractive Gift
To Win!!!
Click Here for details
If the equation x^2 – x – p =0 and x^2 - 2xp - 12 =0 have a common root ,find it
x^2-x-p=0; p = (-x^2 +x) substitute p in 2 nd equation x^2-2x(-x^2+x)-12=0 2x^3-x^2-12=0 solving this eqn we get x = 2 and other roots are unreal so, the common root is 2
Y RAJYALAKSHMI 2 months ago
If the roots α and β (α + β ≠ 0) of the quadratic equation ax^2 + bx + c = 0 are real and of opposite sign. Then show that roots of the equation α(x - β)^2 + β(x - α)^2 = 0 are also real and...
Product of roots is This immediately means that both roots are real and of opposite signs (if they were complex, then they are conjugates and their product is always positive)
mycroft holmes one month ago
How to create a magic square if we know a date. Eg-22-04-2014 The first column should have 22 2nd-04 3rd-20 and 4 th -14. I believe ramanujan created the same thing for his birthday but I...
Hello student, Please find the answer to your question Let the magic square be wherea,b,c,drepresents the date. The conditions that the rows, columns, and diagonals sum toa+b+c+dgives...
SHAIK AASIF AHAMED one month ago
Image is attached . The function is discontinuos at ?
[] is greatest integer function lets check at x=0 LHL [(0-h) 2 ]-[0-h] 2 =[h 2 ]-[-h] 2 =0-1=-1 RHL [(0+h) 2 ]-[0+h] 2 =0-0=0 limit doesnot exists at x=0 Thanks and regards Vineet Nimesh
vineet nimesh 2 months ago
evaluate the following integral ∫ e^(3x) / e^(3x) + 1 dx
Ans: Hello student, Please find the answer to your question below
Jitender Singh 16 days ago
why is vector division undefined?
Division basically refers to multiplication of reciprocal. For example a/b is same as a*1/b or we can say, is same as a*b -1 , which is "a" multiplied to the inverse of "b". There is no way...
Deepali Singh 2 years ago
when direction can be multiplied.then it should also be divided.
sai nath 2 years ago
as a vector has direction
Kolla Raja Sekhar 2 years ago
View all Questions »