SOLUTION: What is the equation for the following word problem? The sum of 3 consecutive even integers is no more that 39. What are the two integers?

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Question 1204742: What is the equation for the following word problem?

The sum of 3 consecutive even integers is no more that 39. What are the two integers?

Found 4 solutions by ankor@dixie-net.com, Alan3354, ikleyn, josgarithmetic:
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
The sum of 3 consecutive even integers is no more that 39
The sum of consecutive even integers cannot equal an odd number!!

Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
What is the equation for the following word problem?

The sum of 3 consecutive even integers is no more that 39. What are the two integers?
================
Poorly worded question.
Is it 3 integers or 2?
---
%28n-2%29+%2B+n+%2B+%28n%2B2%29+%3C=+39
3n+%3C=+39
n+%3C=+13
--> n = 12
10 + 12 + 14 = 36

Answer by ikleyn(52879) About Me  (Show Source):
You can put this solution on YOUR website!
.

There are at least TWO fatal errors in your post.


One error is when you are asking about "the two integers".

Article "the" is used when an item after "the" is just defined previously as a subject of discussion.
But in your post, the two numbers are not defined as a subject of discussion - only THREE numbers are defined, but not two of them.


Second error is that you ask about an equation.
Where is NO such equation, at all.
There is only an inequality relevant to this context.


So, it is not surprising that tutors can not answer your question as it is posed.


It is because everything is incorrect there.


The inequality you are asking about is

        (n-2) + n + (n+2) <= 39,

or

        3n <= 39,

where n is the middle of the three consecutive even integers.


After reading your post, it becomes clear, that this "problem" is created/composed/worded/printed
by a person, who does not know neither English nor Math.


///////////////////


There is third fatal error, too.

The number of solutions of this inequality is infinite.
In other words, the number of such triples of integer numbers is infinite.

Therefore, when you ask "what are the two numbers", the question becomes totally undefined.


.............................


Do not even try to create your own Math problems.

To do it properly, 15 year of intensive studying Math is required,
in the school and in the University, PLUS 5-10 years practicing after that.


Tens of textbooks on the subject should be read and thousands problems should be
solved before you become a Math problems composer and writer (if you are lucky).



Answer by josgarithmetic(39630) About Me  (Show Source):
You can put this solution on YOUR website!
Decide which is it! Three integers or two integers. Must be exclusively one or the other of them.

Two integers, consecutive even?
Let them be n and n+2.

n%2B%28n%2B2%29%3C39
2n%3C37
n%3C37%2F2
highlight%28n%3C=18%29