Question

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

Answer 1

Given,

Product of two numbers $=1296$

Let one number be $a$

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

A.T.Q.

$a.16a=1296$

$\Rightarrow 16a^2=1296$

$\Rightarrow a^2=81$

$\Rightarrow a=\pm 9$

Second number $=\pm 9\times 16=\pm 144$

$\therefore$ Two numbers are $(9,144)$ and $(-9,-144)$.