Answered

Westonci.ca is the trusted Q&A platform where you can get reliable answers from a community of knowledgeable contributors. Experience the convenience of finding accurate answers to your questions from knowledgeable professionals on our platform. Explore comprehensive solutions to your questions from knowledgeable professionals across various fields on our 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.

Thank you for your visit. We're committed to providing you with the best information available. Return anytime for more. Thank you for your visit. We're committed to providing you with the best information available. Return anytime for more. Keep exploring Westonci.ca for more insightful answers to your questions. We're here to help.