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CBSE Class 10 Answered

i can't understand dis ques plz explain The houses of a row are numbered consecutively from 1 to 49. Show that there is a value of x so 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. [Hint : Sx – 1 = S49 – Sx ]
Asked by Diya | 23 Feb, 2018, 04:51: PM
answered-by-expert Expert Answer
begin mathsize 16px style 1 comma 2 comma............. comma straight x minus 1 comma straight x comma straight x plus 1 comma...................49
straight x space is space in space middle
sum space from space till space straight x equals sum space after space straight x space till space 49.....1
total space sum equals sum space till space straight x plus straight x plus sum space after space straight x space till space 49
total space sum equals sum space till space straight x plus straight x plus sum space from space till space straight x..... from space 1
total space sum equals straight S subscript straight x plus sum space from space till space straight x........ open parentheses sum space till space straight x plus straight x equals straight S subscript straight x close parentheses
sum space from space till space straight x equals total space sum minus straight S subscript straight x
straight S subscript straight x minus 1 end subscript equals straight S subscript 49 minus straight S subscript straight x
blank subscript straight x minus 1 end subscript over 2 open parentheses 2 plus open parentheses straight x minus 1 minus 1 close parentheses 1 close parentheses equals 49 over 2 open parentheses 2 plus open parentheses 49 minus 1 close parentheses 1 close parentheses minus blank subscript straight x over 2 open parentheses 2 plus open parentheses straight x minus 1 close parentheses 1 close parentheses
solve
straight x equals 35 end style
Answered by Arun | 23 Feb, 2018, 05:30: PM
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