Question

I've been trying to figure this out for a long time. What is the answer?

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

Answer 1

if the 3 consecutive numbers are n , n+1 and n+2 then we have the equation
n + n + 1 + n + 2 = 267

solve for n

Answer 2

the largest integer will be n + 2.

Answer 3

where are you getting n from?

Answer 4

n is a symbol for the lowest of the 3 integers

i could have used n , m x y or any letter

Answer 5

this is algebra

Answer 6

ok thank you

Answer 7

can you solve it or do you want me to show you how ?

Answer 8

is the final answer n+2 or is there more stuff to do?

Answer 9

no there is some more manipulation to do
n at present is unknown and we need to find its value .

n in words can be described as ' some integer'

and we can describe the equation in words as
'there is an unknown integer which when added to the next consecutive integer and to the next integer after that gives a total of 267'


the next 2 integers are of course n+1 and n + 2

Answer 10

when we add 3 n's we write it as 3n ( which is like 3 times n but the multiply is left out
and 1 + 2 is of course 3
so the equation becomes
3n + 3 = 267

Answer 11

I think the final answer is 90. is that right?

Answer 12

yes
n = 88
and 3 numbers are 88,89 and 90

Answer 13

ok thank you!

Answer 14

yw