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Question

The product of two numbers is $$1296$$. If one number is $$16$$ times the other, find the two numbers?


Solution

Given,
Product of two numbers $$=1296$$
Let one number be $$a$$

Second number $$=16$$ times first number$$=16 a$$

A.T.Q.
$$a.16a=1296$$
$$\Rightarrow 16a^{2}=1296$$
$$\Rightarrow a^{2}=81$$
$$\Rightarrow a=\pm9$$

Second number $$=\pm9\times16=\pm144$$
$$\therefore$$  Two numbers are $$(9,144)$$ and  $$(-9,-144)$$.

Mathematics

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