Question

Three consecutive integers have a sum of 57. Find the integers

Answer 1

Answer: 18, 19, and 20

Step-by-step explanation: Consecutive means beside. Numbers 2 and 3 are consecutive integers. Given this question, numbers 6, 8, and 9 could possibly be the answer. However, we don't know this, so let's represent the 6 as x, 7 as x+1. 9 is x+2. We know when these are added together the sum is 57, so 3x+3 should be 57. Now, solve as a normal algebraic question.

Answer 2

x + x + 1 + x + 2 = 57

3x + 3 = 57

- 3

3x = 54

divide by 3

x = 18

18 + 1 = 19

18 + 2 = 20

The integers are: 18, 19, and 20