18 Nov '17 19:119 edits

This is a maths problem that I found slightly interesting and which I have actually encountered during in my current research;

Suppose you want to know what x is when you know

x = y / (a + b + c + d )

BUT you don't know the values of y or a or b or c or d (or x).

BUT you DO know the values of the

So you DO know the values p and q and r and s where you know;

p = y/a

q = y/b

r = y/c

s = y/d

What is the formula for x in terms of the known p and q and r and s ?

In other words, what is required is;

x = RHS

where RHS is a formula that ONLY contains the variables p and q and r and s.

Would you naturally think no such formula exists (so you cannot know the value of x) because of insufficient information?

Suppose you want to know what x is when you know

x = y / (a + b + c + d )

BUT you don't know the values of y or a or b or c or d (or x).

BUT you DO know the values of the

*fractions*y/a and y/b and y/c and y/d.So you DO know the values p and q and r and s where you know;

p = y/a

q = y/b

r = y/c

s = y/d

What is the formula for x in terms of the known p and q and r and s ?

In other words, what is required is;

x = RHS

where RHS is a formula that ONLY contains the variables p and q and r and s.

Would you naturally think no such formula exists (so you cannot know the value of x) because of insufficient information?