Question

The sum of three consecutive integers is 267. What is the largest integer?

Answer 1

lets call the smallest integer x.
so what would the other two be in terms of x?

Answer 2

x+1 and x+2

Answer 3

perfect, so now use the fact that the sum of these 3 numbers equals 267

Answer 4

oh - I thought @Guez replied here. @RadEn you should really let the asker try this.

Answer 5

hehe, sorry...

Answer 6

np - it's just to guide the sker to the solution rather than just giving out an answer. that way you learn more. :)

Answer 7

*it's just good to...

Answer 8

I dont understand what you mean when you ask what are the other two.

Answer 9

we set the smallest number equal x.

now the question states that there are three consecutive integers. consecutive means "one after another" - e.g. 7, 8, 9 or 45, 46, 47

so if x is the smallest one, then the next one must be x+1.
similarly, the third number must be (x+1)+1=x+2

hope that makes sense?

Answer 10

So the largest intiger is (x + 267)+267

Answer 11

*integer

Answer 12

no - what we did was to let the smallest one equal x, so we end up with these 3 numbers:

smallest: x
middle: x+1
largest: x+2

you are then told that their sum equals 267, so we can now say that:

x + (x+1) + (x+2) = 267

solve this to find x. then x+2 will be your largest number.

Answer 13

So the largest integer is 267?

Answer 14

look at what I typed. the largest number is (x+2). 267 is what you get when you add up all three numbers.

Answer 15

So 2 is the largest number?

Answer 16

how did you get that>

Answer 17

Im sorry your not making any sence, you wrote

largest: x+2

Answer 18

we let x represent the smallest number. so x is an unknown quantity.

do you understand this step?

Answer 19

x = 90?

Answer 20

how did you arrive at that value?

Answer 21

Expand the brackets
X+X-1+X-2 =267
3X -3 = 267
3X = 270
X = 270/3
X = 90

Answer 22

almost - you made an error in the signs - you should be using X+1 and X+2 not X-1 and X-2

Answer 23

remember here we said x represents the smallest number

Answer 24

So x =90

Answer 25

i think we allow if done from the largest to the smallest

Answer 26

if you look back you will that I wrote the equation as:

x + (x+1) + (x+2) = 267

this is what you need to solve

Answer 27

*will see