Problema Solution

a chemist has three samples of unknown masses and three samples of known masses. any two unknown masses can be balenced against against the third unknown mass and one of three known masses. find the unknown masses if the known ones are 9g, 27g and 15g.

Answer provided by our tutors

Let the unknown masses be , , and 

From those I get:

Adding the 1st two:

 

Adding the 2nd two:

And from the 1st:

The unknown masses are 18g, 12g, and 21g