Question 32
David has a very original calculator, which performs only two operations, the usual addition $(+)$ and another operation, denoted by $*$, which satisfies i. $a * a = a$, II. $a * 0 = 2a$ III. $(a * b) + (c * d) = (a + c) * (b + d)$, for any integers $a$ and $b$. What are the results of operations $(2 * 3) + (0 * 3)$ and $1024 * 48$?