The sum of four odd integers is 296. What is the greatest of the four consecutive odd integers

Answer: 77

Step-by-step explanation:

Let the four odd numbers be represented as a, b, c and d.

a + b + c + d = 296

b = a+2 (since they are consecutive and odd)

c = a+4

d = a+6

Then, substitute the values gotten into the original equation. This will be:

a + (a+2) + (a+4) + (a+6) = 296

4a + 2 + 4 + 6 = 296

4a + 12 = 296

Then, collect like terms

4a + 12 = 296

4a = 296 - 12

4a = 284

Divide both sides by 4

4a/4 = 284/4

a = 71

If a is 71,

b = a + 2 = 71 + 2 = 73

c = a + 4 = 71 + 4 = 75

d = a + 6 = 71 + 6 = 77

The greatest of the four consecutive odd integers is 77.