The sum of four consecutive integers is 390. Find the integers (Please show your work)

Step-by-step explanation:

The sum of three consecutive even integers is 390. What are the integers?

   In order to ensure the numbers are even I generally call the first

   integer 2n  because 2 multiplied by any number will always be even.

   Our consecutive even integers are:  2n, 2n+2, 2n+4

   2n + 2n+2 + 2n+4 = 390

   6n + 6 = 390

   6n = 384

   n = 64

  Our 1st integer is 2n = 2(64) = 128

  Our integers are 128, 130, 132

Check:  128+130+132 = 390 which is correct.

2) The sum of three consecutive odd integers is 99. What are the integers?

    Same logic applies:  An odd integer will always result from 2n+1

    So we will call our 3 consecutive odd integers   2n+1, 2n+3, 2n+5

   2n+1 + 2n+3 + 2n+5 = 99

   6n+9 = 99

   6n = 90

   n = 15

   Our first odd integer is 2n+1 = 2(15) + 1 = 31

   Our 3 consecutive odd integers are 31, 33, 35

Check:  31 +33+45 = 99  Yes

3)Which equation defines three consecutive odd integers that add up to 81?

A) n(n+1)(n+2)=81

B) n(n+2)(n+4)=81

C) n+(n+1)+(n+3)=81

D) n+(n+1)+(n+2)=81

E) n+(n+2)+(n+4)=81

We can immediately discard answers A, B because they are multiplying

instead of adding.

That leaves C, D, E

This question does not follow the logic I utilized in question 1 and 2. 

Assuming the first number is indeed odd and is called n

The next odd number is n+2 followed by n+4

Thus we must have:  n + (n+2) + (n+4) = 81

The answer is E

By the way:  The numbers are 25, 27, 29

The integers are 96, 97, 98, and 99

Step-by-step explanation:

first integer = x

second integer = x+1

third integer = x+2

fourth integer = x+3

(that what consecutive means, like 4, 5, 6, 7 are just adding 1 more each time

The sum (add them all up) is (=) 390 so

x+(x+1)+(x+2)+(x+3) = 390

4x+6=390

4x+6-6=390-6

4x=384

4x/4=384/4

x=96

x+1=97

x+2=98

x+3=99

The integers are 96, 97, 98, and 99

sorry, can't i suggest going to algebra.com

step-by-step explanation:

figure c

step-by-step explanation:

hope this .