# 1 page

1 page is torn from the book. The sum of the page numbers of all the remaining pages is 15,000. What numbers did the pages have on the page that was torn from the book?

Correct result:

x1 =  25
x2 =  26

#### Solution:

$\dfrac{ 1 }{ 2 } \cdot \ n(n-1)=15000 + x \ \\ n \cdot \ (n-1)=30000 + x \ \\ \ \\ o=\sqrt{ 30000 }=100 \ \sqrt{ 3 } \doteq 173.2051 \ \\ \ \\ n \cdot \ (n-1)=173 \cdot \ 174 \ \\ \ \\ n=174 \ \\ \ \\ x=\dfrac{ 1 }{ 2 } \cdot \ n \cdot \ (n-1)-15000=\dfrac{ 1 }{ 2 } \cdot \ 174 \cdot \ (174-1)-15000=51 \ \\ x=x_{1}+x_{2} \ \\ \ \\ x_{1}=x/2-0.5=51/2-0.5=25$
$x_{2}=x_{1}+1=25+1=26$

Our examples were largely sent or created by pupils and students themselves. Therefore, we would be pleased if you could send us any errors you found, spelling mistakes, or rephasing the example. Thank you!

Leave us a comment of this math problem and its solution (i.e. if it is still somewhat unclear...):

Be the first to comment!

Tips to related online calculators
Looking for help with calculating roots of a quadratic equation?
Do you have a linear equation or system of equations and looking for its solution? Or do you have quadratic equation?
Do you want to round the number??

## Next similar math problems:

• Collection of stamps
Jano, Rado, and Fero have created a collection of stamps in a ratio of 5: 6: 9. Two of them had 429 stamps together. How many stamps did their shared collection have?
• Boats
Three-quarters of boats are white, 1/7 are blue and 9 are red. How many boats do we have?
• My father
My father has a big farm. 6/8 of it were planted with mango trees, 1/2 of the remainder are guava trees and the rest 10 trees are santol trees. What is the number of all trees?
• Dozen
What is the product of 26 and 5? Write the answer in Arabic numeral. Add up the digits. How many of this is in a dozen? Divide #114 by this
• The temperature
The temperature at 1:00 was 10 F. Between 1:00 and 2:00, the temperature dropped 15F. Between 2:00 and 3:00, the temperature rose 3F. What is the temperature at 3:00?
• Year 2018
The product of the three positive numbers is 2018. What are the numbers?
• School
Less than 500 pupils attend school. When it is sorted into pairs, one pupil remains. Similarly, when sorted into 3, 4, 5 and 6 members team one remains. Sorted to seven members teams, no left behind. How many pupils are attending this school?
• Candy and boxes
We have some number of candy and empty boxes. When we put candies in boxes of ten, there will be 2 candies and 8 empty boxes left, when of eight, there will be 6 candies and 3 boxes left. How many candy and empty boxes left when we put candies in boxes of
• Triangles
Ivo wants to draw all the triangles whose two sides of which have a length of 4 cm and 9 cm and the length of the third side is expressed in whole centimeters. How many triangles does he have?
• Positive integers
Several positive integers are written on the paper. Michaella only remembered that each number was half the sum of all the other numbers. How many numbers could be written on paper?
• Closest natural number
Find the closest natural number to 4.456 to 44.56 and to 445.6.
• Tenths digit
For 10.932, which digit is in the tenths place?
• Year 2020
The four-digit number divided by 2020 gives a result of 1, **. (Can not be in form 1,*0. ) Write all the options.
• Progression
-12, 60, -300,1500 need next 2 numbers of pattern
• Expression 6
Evaluate expression: -6-2(4-8)-9
• Together
If 8 men, 10 women, 16 children collects ₹1024 in 4 days, how many days will be required for 6 men, 5 women and 4 boys to collect ₹768? (₹ is Indian Rupee)
• Two numbers 6
Fill two natural numbers a, b: 7 + blank- blank = 5