find 4 consecutive odd integers with a sum of 184. write an equation and solve.

Answer 1

Let x= the first odd consecutive integer

Let x+2 = the 2nd

Let x+4 = the 3rd

Let x+6 = the 4th

Add them, set the sum = 184

solve for x

x+x+2+x+4+x+6 = 184

4x +12 = 184

4x = 184-12 = 172

x = 172/4 = 43

the 4 consecutive odd integers are 43,45,47 and 49

another way to solve the problem is divide 184 by 4

184/4 = 46 = the midpoint of the 4 odd consecutive integers

making 43,45,47, 49 the integers you want

46+/-1 = 45 and 47

46+/-3 = 43 and 49

46 is midway between 45 and 47

and also midway between 43 and 49