Define A B as A B = (A+B)3. What is the value of (2 10) 5?

We have 2 10 = 2+103 = 123 = 4. Then 4 5 = 4+53 = 93 = 3.

jmc

algebra junior

Problem

Define

A ⋆ B

A ⋆ B = \frac{( A + B )}{3}

. What is the value of

(2 ⋆ 10) ⋆ 5

Solution

We have

2 ⋆ 10 = \frac{2 + 10}{3} = \frac{12}{3} = 4

. Then

4 ⋆ 5 = \frac{4 + 5}{3} = \frac{9}{3} = 3

Final answer