Find four consecutive numbers whose sum equals 218
Question
Answer:
Answer: 53, 54, 55, and 56Step-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 numberX + 1 ⇒ second numberX + 2 ⇒ third numberX + 3 ⇒ fourth numberSince 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 = 218On 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 equation4x = 212÷4 ÷4 ← divide both sides of the equation by 4 X = 53X ⇒ first number = 53X + 1 ⇒ second number = 54X + 2 ⇒ third number = 55X + 3 ⇒ fourth number = 56Therefore, our 4 consecutive numbers are 53, 54, 55, and 56.
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10 months ago
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