Correlation between two equation that involves summing a series of number

Asked Mar 27 '22 at 04:21

Active Mar 27 '22 at 06:36

Viewed 28 times

Firstly, I apologize as I don't have strong mathematical background, hence this basic questions comes in this forum.

Say I have a equations as below:

$E_i = x_i/y_i$

$A = (E_1 + E_2 + E_3 + ... +E_n)/n$

$B = (x_1+x_2+x_3+...+x_n)/(y_1+y_2+y_3+...+y_n)$

Is there any figure ($z$) that I can multiply with A to create: $Az = B$ ?

I have no clue on how to start, since n isn't specified and can be any integer number. Any help will be very much appreciated, thanks!

edited Mar 27 '22 at 06:36

Gerry Myerson

asked Mar 27 '22 at 04:21

el-cheapo

1

Are you meaning $E_i=\frac{x_i}{y_i}$ ? – Claude Leibovici Mar 27 '22 at 05:13
@ClaudeLeibovici yes that's correct. Thanks for pointing the errors. – el-cheapo Mar 27 '22 at 05:20
Do it with $n=3$ to see what you obtain. The pattern is more that clear. – Claude Leibovici Mar 27 '22 at 06:17
Try to find two different sets of numbers that give the same $B$ but different values of $A$. – Gerry Myerson Mar 27 '22 at 06:36

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