The sum of 5 consecutive integers is 505. What is the second number in this sequence?

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The sum of 5 consecutive integers is 505. What is the second number in this sequence?

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Dulcie 4 years 2021-07-24T01:05:40+00:00 1 Answers 24 views 0

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  1. ngockhue
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    2021-07-24T01:07:03+00:00
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    Answer:

    The second number is 100.

    Step-by-step explanation:

    Let the first integer be x.

    Then since the five integers are consecutive, the second integer will be (x + 1), the third (x + 2), fourth (x + 3), and the fifth (x + 4).

    They total 505. Hence:

    \displaystyle x+(x+1)+(x+2)+(x+3)+(x+4)=505

    Solve for x. Combine like terms:

    5x+10=505

    Subtract 10 from both sides:

    5x=495

    And divide both sides by five. Hence:

    x=99

    Thus, our sequence is 99, 100, 101, 102, and 103.

    The second number is 100.

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