Question 5
If $$a \ast b = \frac{a + b}{a - b}$$, then the value of $$\frac{13 \ast 6}{5 \ast 2}$$ is
Solution
Using the given rule, $$13 \ast 6 = \frac{13 + 6}{13 - 6} = \frac{19}{7}$$ and $$5 \ast 2 = \frac{5 + 2}{5 - 2} = \frac{7}{3}$$. Dividing one by the other, $$\frac{19}{7} \div \frac{7}{3} = \frac{19}{7} \times \frac{3}{7} = \frac{57}{49}$$.
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