Question

Mark the correct alternative in each of the following:

By what number $9\frac{4}{5}$ be multiplied to get 42?

(a) $\frac{30}{7}$ (b) $\frac{7}{30}$ (c) $4\frac{1}{7}$ (d) $4\frac{3}{7}$

Answer 1

Product of two numbers = 42

One of the numbers = $9\frac{4}{5}=\frac{49}{5}$

∴ Other number = Product of two numbers ÷ One of the numbers

$$\begin{gathered} =42÷\frac{49}{5} \\ =\frac{42}{1}\times \frac{5}{49} \\ =\frac{6\times 5}{1\times 7} \\ =\frac{30}{7} \end{gathered}$$

Hence, the correct answer is option (a).