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

The houses of a row are numbered consectively from 1 to 49. show that there is a value of x such that the sum 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:
Hence the required value of x is 35.
Promotional Banner

Topper's Solved these Questions

  • ARITHMETIC PROGRESSIONS

    ZEN PUBLICATION|Exercise ZEN ADDITIONAL QUESTIONS (MULTIPLE-CHOICE QUESTIONS [MCQS] )|17 Videos

  • ARITHMETIC PROGRESSIONS

    ZEN PUBLICATION|Exercise ZEN ADDITIONAL QUESTIONS (VERY -SHORT-ANSWER [VSA] QUESTIONS)|11 Videos

  • ARITHMETIC PROGRESSIONS

    ZEN PUBLICATION|Exercise TEXTUAL EXERCISE (Exercise 1.3)|20 Videos

  • AREA RELATED TO CIRCLES

    ZEN PUBLICATION|Exercise ADDITIONAL QUESTIONS (HIGHER ORDER THINKING SKILLS)|7 Videos

  • CIRCLES

    ZEN PUBLICATION|Exercise ZEN ADDITIONAL QUESTIONS ( HOT [HIGHER ORDER THINKING SKILLS] - QUESTIONS) (IIT AND IMO)|9 Videos

Similar Questions

Explore conceptually related problems

Find the mean number of plants per house from the following data :

If the sum of first n even natural number is 240. find the value of n.

If the sum of first n even natural number is 240. find the value of n.

Find two conecutive positive odd number such that the sum of their squares is equal to 130 .

If the sum of first n odd natural number is 1225, find the value of n.

Find the sum of natural odd numbers from 1 to 100.

A two digit number is four times the sum of the digits. It is also equal to 3 times the product of digits. Find the number.

A two digit number is four times the sum of the digits. It is also equal to 3 times the product digits . Find the number.