Separate a collection of 20 objects into two parts so that twice the larger amount equals three times the smaller. Find the numbers.

(I need two variables and two equations as well ...)

Two groups (larger group A and smaller group B) can use any variables instead of a and b.

A + B = 20 (because you have a total of twenty objects)

2A = 3B

In group A there is a total of 12 objects and in B there is a total of 8 objects