Answered

Welcome to Westonci.ca, the place where your questions find answers from a community of knowledgeable experts. Our platform provides a seamless experience for finding precise answers from a network of experienced professionals. Get precise and detailed answers to your questions from a knowledgeable community of experts on our Q&A platform.

If 2 times the sum of two consecutive even numbers is greater than 94, what is the smallest possible value of the larger number?

Sagot :

semsee45

Answer:

26

Step-by-step explanation:

Define the variables:

  • 2n = first even number
  • 2n + 2 = consecutive even number

Given information:

  • 2 times the sum of two consecutive even numbers is greater than 94

Create an inequality from the defined variables and the given information:

⇒ 2(2n + 2n + 2) > 94

Solve the inequality:

⇒ 2(4n + 2) > 94

⇒ 8n + 4 > 94

⇒ 8n > 90

⇒ n > 11.25

Therefore:

  • 2n > 22.5
  • 2n + 2 > 24.5

As 2n and 2n+2 are even numbers:

  • smaller number (2n) ≥ 24
  • larger number (2n + 2) ≥ 26

Therefore, the smallest possible value of the larger number is 26.

We hope this was helpful. Please come back whenever you need more information or answers to your queries. We appreciate your visit. Our platform is always here to offer accurate and reliable answers. Return anytime. We're glad you visited Westonci.ca. Return anytime for updated answers from our knowledgeable team.