FALSE BALANCES. 85 



SOLUTION. 9| x 7=64, the square root of which is 8 Ibs., 

 the weight. Ans. 



EXAMPLE 2. An article weighs 7 Ibs. : transposed it is 

 found too heavy, weighing only 5| Ibs. by the same scales. 

 What is the true weight ? 



SOLUTION. 7 x 5^=36, the square root of which is 6 Ibs., 

 the true weight. Ans. 



NOTE. In the 1st example the additional weight is 

 added to the article to produce the equilibrium : in the 

 second example the deficiency is taken from the weight to 

 produce the counterpoise. 



