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 va

Text Solution

Verified by Experts

The correct Answer is:
35
Promotional Banner

Topper's Solved these Questions

  • ARITHMETIC PROGRESSION

    NAGEEN PRAKASHAN|Exercise Revision Exercise Short Answer Questions|9 Videos

  • AREA RELATED TO CIRCLES

    NAGEEN PRAKASHAN|Exercise Revision Exercise Long Answer Question|6 Videos

  • CIRCLES

    NAGEEN PRAKASHAN|Exercise Revision Exercise Long Answer Questions|3 Videos

Similar Questions

Explore conceptually related problems

The houses of a row are numbered 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

The sum of the squares of two consecutive positive odd numbers is 290. Find the sum of the numbers :

The houses on one side of a road are numbered using consecutive even numbers .The sum of the numbers of all the houses in that row is 170. If there are at least 6 houses in that row and a is the number of the sixth house then

The sum of three consecutive even natural numbers is 48. Find the greatest of these numbers.

The sum of the squares of two consecutive positive odd numbers is 514. Find the numbers.

In a set of three consecutive natural numbers, the sum of the last two numbers is equal to three times the first number. Find the sum of all the three numbers.