Houses-on-one-side-of-a-particular-street-are-assigned-odd-numbers-starting-from-11-If-the-sum-of-the-numbers-is-551-how-many-houses-are-there-

Question Number 167828 by otchereabdullai@gmail.com last updated on 26/Mar/22

Houses on one side of a particular

street are assigned odd numbers,

starting from 11 . If the sum of the

numbers is 551, how many houses

are there ?

Answered by mr W last updated on 27/Mar/22

s a y t h e r e a r e n h o u s e s .

t h e f i r s t {h o u s e}^{'} s n u m b e r = 11

t h e l a s t {h o u s e}^{'} s n u m b e r = 11 + 2 (n - 1)

s u m o f n u m b e r s o f a l l h o u s e s :

\frac{n (11 + 11 + 2 (n - 1))}{2} = 551

n^{2} + 10 n - 551 = 0

(n - 19) (n + 29) = 0

\Rightarrow n = 19

\Rightarrow n = - 29 (r e j e c t)

Commented by otchereabdullai@gmail.com last updated on 27/Mar/22

supper prof W God bless you!