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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