Home
Class 10
MATHS
The houses of a row are numbered consecu...

The houses of a row are numbered consecutively from 1 to 49. Show that there is a value of x such that the sum of the numbers of the houses preceding the house numbered x is equal to the sum of the numbers of the houses following it. Find this value of x.

Text Solution

Verified by Experts

The correct Answer is:
35
Promotional Banner

Topper's Solved these Questions

  • ARITHMETIC PROGRESSION

    KUMAR PRAKASHAN|Exercise PRACTICE THOROUGHLY|20 Videos
  • ARITHMETIC PROGRESSION

    KUMAR PRAKASHAN|Exercise OJECTIVE QUESTIONS|15 Videos
  • ARITHMETIC PROGRESSION

    KUMAR PRAKASHAN|Exercise EXERCISE 5.3|34 Videos
  • AREAS RELATED TO CIRCLES

    KUMAR PRAKASHAN|Exercise Objective Questions|25 Videos
  • CIRCLE

    KUMAR PRAKASHAN|Exercise Objective Questions (True & False)|4 Videos

Similar Questions

Explore conceptually related problems

Prove by induction that the sum of the cubes of three consecutive natural numbers is divisible by 9.

Find the sum of the odd numbers between 0 and 50 .

The sum of two numbers is 10 and their quotient is 2/3 . Find the numbers

A two digit number is four times the sum and three times the product of its digits. Find the number.

The sum of the squares of two positive numbers is 233 and one number is 3 less than twice the other number. Find the numbers.

A pack contains n cards numbered from 1 to n. Two consecutive numbered cards are removed from the pack and the sum of the numbers on the remaining cards is 1224. If the smaller of the numbers on the removed cards is k, then k-20 is equal to

The sum of the squares of two consecutive odd positive integers is 650. Find the number.

If the sum of three numbers in A.P., is 24 and their product is 440, find the numbers.

Find the number of terms in the expansion of the following : (x+y/x)^(7)

The sum of three number are in H.P. is 37 and the sum of their reciprocals is 1/4 . Find the number