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*_Artist_*

  • 5 years ago

The sum of five consecutive integers is 75. What is the third number? Please don't give me the answer right away....

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  1. ankur504
    • 5 years ago
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    x+(x+1)+(x+2)+(x+3)+(x+4)=75

  2. *_Artist_*
    • 5 years ago
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    yes...Can you help me figure out the answer?

  3. polpak
    • 5 years ago
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    Artist, do you see how he arrived at that equation?

  4. *_Artist_*
    • 5 years ago
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    Yes...I understand....

  5. polpak
    • 5 years ago
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    Ok, so how many x's do you have there on the left side.

  6. *_Artist_*
    • 5 years ago
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    five

  7. polpak
    • 5 years ago
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    Ok, so 5x. And what is the sum of the non-x's on the left side.

  8. INewton
    • 5 years ago
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    Protip: Use (x-2) + (x-1) + x + (x+1) + (x+2)

  9. *_Artist_*
    • 5 years ago
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    4....

  10. polpak
    • 5 years ago
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    4+3+2+1 is not 4.

  11. *_Artist_*
    • 5 years ago
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    sorry...10

  12. polpak
    • 5 years ago
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    Ok, so the left side is 5x + 10 , and that equals 75. What is x?

  13. *_Artist_*
    • 5 years ago
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    umm...18?

  14. polpak
    • 5 years ago
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    No. What are the steps to solving \[5x + 10 = 75\]

  15. polpak
    • 5 years ago
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    What do you do first?

  16. *_Artist_*
    • 5 years ago
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    Umm....multiplication, 5*x?

  17. polpak
    • 5 years ago
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    No. Isolate the x term, but subtracting 10 from both sides.

  18. polpak
    • 5 years ago
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    err by subtracting I mean.

  19. *_Artist_*
    • 5 years ago
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    ooh...okay...duh

  20. polpak
    • 5 years ago
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    Then divide both sides by 5 is the second step. What is x?

  21. *_Artist_*
    • 5 years ago
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    13?

  22. polpak
    • 5 years ago
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    Ok, so 13 is x is the first number, then what is the third number?

  23. *_Artist_*
    • 5 years ago
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    39...

  24. polpak
    • 5 years ago
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    no.

  25. polpak
    • 5 years ago
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    The sum of 5 sequential integers . The first integer is 13, what is the integer that comes after 13?

  26. *_Artist_*
    • 5 years ago
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    Duh,14...so the third number is 15?

  27. polpak
    • 5 years ago
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    Yes. Exactly.

  28. polpak
    • 5 years ago
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    13 + 14 + 15 + 16 + 17 = 75

  29. *_Artist_*
    • 5 years ago
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    Thank you...

  30. polpak
    • 5 years ago
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    Of course! =)

  31. *_Artist_*
    • 5 years ago
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    I fanned you! Can you fan me? you'll be my tenth fan!

  32. polpak
    • 5 years ago
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    Not that it matters much, but sure ;p

  33. *_Artist_*
    • 5 years ago
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    Thanks...It's kinda neat to have ten fans...

  34. INewton
    • 5 years ago
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    My method was cleaner *sad face*

  35. *_Artist_*
    • 5 years ago
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    Ooh...sorry....*sympathetic face*

  36. polpak
    • 5 years ago
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    I agree Newton, but ankur had already started in this vein, and it doesn't matter much either way, so long as the method is understood.

  37. *_Artist_*
    • 5 years ago
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    Yes...I agree...Maybe next time INewton....

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