Question

The sum of four consecutive odd numbers is -72. What are the four numbers?

Write a let statement (or statements).

Answer 1

So the four consecutive odd integers are: 51 , 53 , 55 and 57

Explanation:

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Answer 2

- 15, - 17, - 19, - 21

Explanation:

let the 4 consecutive odd numbers be

n , n + 2, n + 4, n + 6 ( that is 2 between each odd number ) , then

n + n + 2 + n + 4 + n + 6 = - 72

4n + 12 = - 72 ( subtract 12 from both sides )

4n = - 84 ( divide both sides by 4 )

n = - 21 , then

n + 2 = - 21 + 2 = - 19

n + 4 = - 21 + 4 = - 17

n + 6 = - 21 + 6 = - 15

The 4 numbers are - 15, - 17, - 19, - 21