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
![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 class=](https://us-static.z-dn.net/files/dcc/663c126a2c649c777689566b649c72d9.jpg)
Answer:
Option A: 17,18,19 is the right answer.
Step-by-step 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:
[tex]x + (x+1) + (x+2) = 54[/tex]
The equation is a linear equation in one variable, we have to solve the equation to get the values of integers
[tex]x+x+1+x+2 = 54\\3x+3 = 54\\3x = 54-3\\3x = 51\\\frac{3x}{3} = \frac{51}{3}\\x = 17[/tex]
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.