*_Artist_* 4 years ago The sum of five consecutive integers is 75. What is the third number? Please don't give me the answer right away....

1. ankur504

x+(x+1)+(x+2)+(x+3)+(x+4)=75

2. *_Artist_*

yes...Can you help me figure out the answer?

3. polpak

Artist, do you see how he arrived at that equation?

4. *_Artist_*

Yes...I understand....

5. polpak

Ok, so how many x's do you have there on the left side.

6. *_Artist_*

five

7. polpak

Ok, so 5x. And what is the sum of the non-x's on the left side.

8. INewton

Protip: Use (x-2) + (x-1) + x + (x+1) + (x+2)

9. *_Artist_*

4....

10. polpak

4+3+2+1 is not 4.

11. *_Artist_*

sorry...10

12. polpak

Ok, so the left side is 5x + 10 , and that equals 75. What is x?

13. *_Artist_*

umm...18?

14. polpak

No. What are the steps to solving \[5x + 10 = 75\]

15. polpak

What do you do first?

16. *_Artist_*

Umm....multiplication, 5*x?

17. polpak

No. Isolate the x term, but subtracting 10 from both sides.

18. polpak

err by subtracting I mean.

19. *_Artist_*

ooh...okay...duh

20. polpak

Then divide both sides by 5 is the second step. What is x?

21. *_Artist_*

13?

22. polpak

Ok, so 13 is x is the first number, then what is the third number?

23. *_Artist_*

39...

24. polpak

no.

25. polpak

The sum of 5 sequential integers . The first integer is 13, what is the integer that comes after 13?

26. *_Artist_*

Duh,14...so the third number is 15?

27. polpak

Yes. Exactly.

28. polpak

13 + 14 + 15 + 16 + 17 = 75

29. *_Artist_*

Thank you...

30. polpak

Of course! =)

31. *_Artist_*

I fanned you! Can you fan me? you'll be my tenth fan!

32. polpak

Not that it matters much, but sure ;p

33. *_Artist_*

Thanks...It's kinda neat to have ten fans...

34. INewton

My method was cleaner *sad face*

35. *_Artist_*

Ooh...sorry....*sympathetic face*

36. polpak

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_*

Yes...I agree...Maybe next time INewton....