Homework Help

If n represents the smaller of these two integers, which is an equation that can be...

user profile pic

mathasker | Student, Grade 9 | eNotes Newbie

Posted August 29, 2012 at 5:42 AM via web

dislike 2 like

If represents the smaller of these two integers, which is an equation that can be used to find n? The sum of two consecutive even integers is 294. 

Tagged with algebra 1, math

4 Answers | Add Yours

user profile pic

justaguide | College Teacher | (Level 2) Distinguished Educator

Posted August 29, 2012 at 5:45 AM (Answer #1)

dislike 1 like

The sum of two consecutive even numbers is 294. If the smaller number is n, the larger number is n + 2. To determine n, solve the equation n + n + 2 = 294 for n.

Or 2n + 2 = 294

n = 146

The equation to be solved to determine n is 2n + 2 = 294

user profile pic

vaaruni | High School Teacher | Salutatorian

Posted August 29, 2012 at 8:48 AM (Answer #2)

dislike 0 like

Given :- sum of the two even intefers = 294  and

The smaller of the two integer is n

The larger integer = n + 2 [ enen numbers differ by 2 ]

since sum of these two even integer = 294

That is,  n + n + 2 = 294

=> 2n + 2 = 294

=> 2(n + 1) = 294

=> ( n + 1)= 294/2 = 147

=> n + 1= 147

=> n = 146 <-- Answer 

user profile pic

juliarules | Student , Grade 10 | eNoter

Posted August 29, 2012 at 12:39 PM (Answer #3)

dislike 0 like

 Since the smaller number is "n" and the larger number is a consecutive even version, then the larger number would be "n+2"

So the equation would be

n+(n+2)=294

and then you simplify to get the answer...like this:

2n+2=294

2n=292

n=146

user profile pic

najm1947 | Elementary School Teacher | Valedictorian

Posted August 29, 2012 at 4:18 PM (Answer #4)

dislike 0 like

As n is the smaller of the two consective even integers, therefore the second integer is n+2.

Sum of the two numbers is n + n+2 which is also equal to 294

So the equation to be used to fine the numbers is: n+n+2 = 294

which reduces to 2n+2 =294 

The required equation is 2n+2 = 294 to find n.

The above equation yields n= 146 and the two integers are 146, 148

Join to answer this question

Join a community of thousands of dedicated teachers and students.

Join eNotes