Question

a,b,c,d, and e are integers; M is their average; and S is their sum. What is the ratio of S to M?

Answer 1

Say a b c d e are 1 2 3 4 5.

1+2+3+4+5= 15
(1+2+3+4+5)/5= 3
ratio is 3:15, or 1:5

try this with any set of numbers and it will always work

Answer 2

No... I tried a different set and it didn't.. Are u sure?

Answer 3

2 + 3 + 4 + 5 + 6 = 20
(2 + 3 + 4 + 5 + 6)/5 = 4

4:20, when simplified, is 1:5

5 + 6 + 7 + 8 + 9 = 35
(5 + 6 + 7 + 8 + 9)/5 = 7
7:35 = 1:5

300 + 301 + 302 + 303 + 304 = 1510
(300 + 301 + 302 + 303 + 304)/5 = 302
302:1510 = 1:5

I promise you, the ratio will always be 1 to 5

Answer 4

Proof for all values:

let a+b+c+d+e = S
let M be the average
M = S/5
5M = S
then S/M = 5/1
or

S : M = 5 : 1