Answer: 53, 54, 55, and 56
Step-by-step explanation: This problem states that the sum of 4 consecutive numbers is 218 and it asks us to find the numbers.
4 consecutive numbers can be represented as followed.
X ⇒ first number
X + 1 ⇒ second number
X + 2 ⇒ third number
X + 3 ⇒ fourth number
Since the sum of our 4 consecutive numbers is 218, we can set up an equation to represent this.
X + X + 1 + X + 2 + X + 3 = 218
On the left side of the equation, we can combine our x's and our numbers.
4x + 6 = 218
-6 -6 ← subtract 6 from both sides of the equation
4x = 212
÷4 ÷4 ← divide both sides of the equation by 4
X = 53
X ⇒ first number = 53
X + 1 ⇒ second number = 54
X + 2 ⇒ third number = 55
X + 3 ⇒ fourth number = 56
Therefore, our 4 consecutive numbers are 53, 54, 55, and 56.
