Question

The sum of four consecutive odd integers is 96. What are the numbers?

Answer 1

21, 23, 25, 27

Explanation:

let n be the first odd number then the next three are

n + 2, n + 4, n + 6

Sum the 4 odd numbers and equate to 96

n + n + 2 + n + 4 + n + 6 = 96 , that is

4n + 12 = 96 ( subtract 12 from both sides )

4n = 84 ( divide both sides by 4 )

n = 21

n + 2 = 21 + 2 = 23

n + 4 = 21 + 4 = 25

n + 6 = 21 + 6 = 27

The numbers are 21, 23, 25, 27