If 1/3 = 1/A+1/B where A and B are different whole numb rs, find the value of both A and B. (working)​

The answer is 4 and 12

The quickest way in this one was to just start checking while numbers as A until you get one for B, you know both A and B have to be greater than 3 for their inverse to create smaller fractions to add up to 1/3, in this case you would test 4 first giving you 1/3=1/4+1/B then see if B being their common denominator gives the right solution to the equation 1/3=1/4+1/12 Becomes 4/12=3/12+1/12 which does work out