Question

find all sets of four consecutive integers whose sum is between 95 and 105

Answer 1

do you know what "consecutive" means?

Answer 2

no

Answer 3

5,6,7,8 consecutive integers
-6, -5, -4, -3 consecutive integers

Answer 4

x, x+1, x+2, x+3, x+4, are also representations of consecutive integers.

Answer 5

or you can guess, which is what i would do
\(20+21+22+23\) is not big enough, since it only adds to \(86\)

Answer 6

Find the set of consecutive integers that add to 104

x + (x + 1) + (x + 2) + (x + 3) = 104

Answer 7

Then intuitively, you'll be able to guess the rest of them

Answer 8

Thanks!

Answer 9

well actually it equals \(98\)

Answer 10

@satellite73 ruined my approach

Answer 11

same idea right? you started with 25, i started with 20, we can meet somewhere in the middle

Answer 12

As an inequality, it looks like\[95<4x+10<105 \implies 85<4x<95 \implies 21<x<23 \implies x=22\]if we are limiting our answers to integers (which seems likely). That means the numbers are 22, 23, 24, 25.

Answer 13

Thank you. Doesn't happen that often. Do math every day.