Question

find all sets of four consecutive integers whose sum is between 95 and 105. show steps :)

Answer 1

\[95<[z+(z+1)+(z+2)+(z+3)]<105\]

Answer 2

is there a simpler way to do that?

Answer 3

\[95<4z+6<105\]
\[89<4z<99\]
\[89/4<z<99/4\]

Answer 4

\[22.25<z<24.75\]
\[z=23, 24\]

Answer 5

what is the rest?

Answer 6

\[\{z_1+(z_1+1)+(z_1+2)+(z_1+3)\},\{z_2+(z_2+1)+(z_2+2)+(z_2+3)\}\]

Answer 7

ok
thanks.

Answer 8

did you understand my method?