Asked by Maddie Ferrie on May 14, 2024

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The sum of four consecutive odd integers is 216. Find the four integers.

A) 54,53,55,5754,53,55,5754,53,55,57
B) 53,55,57,5153,55,57,5153,55,57,51
C) 50,53,55,5750,53,55,5750,53,55,57
D) 51,53,55,5751,53,55,5751,53,55,57
E) 52,53,55,5752,53,55,5752,53,55,57

Consecutive Odd Integers

A sequence of odd numbers where each number is two units more than its predecessor, symbolizing a count by odd numbers from a specific starting point.

  • Solve problems involving proportions in various contexts, including geometry and real-life scenarios.
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JA
Jesus AlvaresMay 19, 2024
Final Answer :
D
Explanation :
Let the four consecutive odd integers be $n$, $n+2$, $n+4$, and $n+6$. Then the sum of these integers is $4n+12$. Setting this equal to 216 and solving for $n$, we get $n=51$. Therefore, the four integers are 51, 53, 55, and 57, which corresponds to choice (D).