Question

Choose the correct answer from the alternatives given.
If a $⨂$ b = $\frac{a+b}{2}$ and a $\ominus$ b = $\frac{2a+b}{3},$ then what is the
value of (4 $⨂$ 6) $\ominus$ (12 $⨂$ 4).

• A. 4
• B. 6
• C. 8
• D. 10

Answer 1

The correct option is B 6

(4 $⨂$ 6) =$\frac{4+6}{2}$

(12 $⨂$ 4).= $\frac{12+4}{2}$

(4 $⨂$ 6)$\ominus$ (12 $⨂$ 4). = $\frac{\left(\frac{2(4+6)}{2}\right)+\left(\frac{12+4}{2}\right)}{3}=\frac{2\times 5+8}{3}=6$