The sum of three consecutive integers is 54. What are the integers? A. 17, 18, 19 B. 17, 19, 21 C. 18, 19, 20 D. 16, 17, 18

Question

asked Jan 9, 2022 187k views

2 Answers

Shandel · Answer 1 · 2022-01-14T06:29:19+0000

Answer:

Option A: 17,18,19 is the right answer.

Explanation:

Let x be the first integer then the next two consecutive integers will be x+1, x+2

According to the given statement, the equation will be:

x + (x+1) + (x+2) = 54

The equation is a linear equation in one variable, we have to solve the equation to get the values of integers

$x+x+1+x+2 = 54\\3x+3 = 54\\3x = 54-3\\3x = 51\\(3x)/(3) = (51)/(3)\\x = 17$

Second integer = x+1 = 17+1 = 18

Third integer = x+2 = 17+2 = 19

The three integers are: 17,18 and 19

Hence,

Option A: 17,18,19 is the right answer.