Question

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

Answer 1

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

Answer 2

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

Answer 3

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

Answer 4

Yes...I understand....

Answer 5

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

Answer 6

five

Answer 7

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

Answer 8

Protip:

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

Answer 9

4....

Answer 10

4+3+2+1 is not 4.

Answer 11

sorry...10

Answer 12

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

Answer 13

umm...18?

Answer 14

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

Answer 15

What do you do first?

Answer 16

Umm....multiplication, 5*x?

Answer 17

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

Answer 18

err by subtracting I mean.

Answer 19

ooh...okay...duh

Answer 20

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

Answer 21

13?

Answer 22

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

Answer 23

39...

Answer 24

no.

Answer 25

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

Answer 26

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

Answer 27

Yes. Exactly.

Answer 28

13 + 14 + 15 + 16 + 17 = 75

Answer 29

Thank you...

Answer 30

Of course! =)

Answer 31

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

Answer 32

Not that it matters much, but sure ;p

Answer 33

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

Answer 34

My method was cleaner *sad face*

Answer 35

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

Answer 36

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.

Answer 37

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