Geoff and Gina bought 20 books altogether. If Geoff gave 6 of his books to Gina, the number of books he had would be 2 fewer than the number of books Gina had. How many books did each of them buy?

Answer 1

If Geoff bought x books then Gina bought 20-x books
After the book exchange:
Geoff has x-6
Gina has 20-x + 6 = 26-x

Gina - Geoff = 2
26-x - (x-6) = 2

solve for x