The product of two numbers is 1296. If one number is 16 times the others find the numbers.

Given:

The product of two numbers is 1296.

One number is 16 times the other.

To do:

We have to find the numbers.

Solution:

Let one of the numbers be $x$.

This implies,

The other number $=16\times x$

Therefore,

$16x \times x=1296$

$16x^2=1296$

$x^2=\frac{1296}{16}$

$x^2=81$

$x=\sqrt{81}$

$x=9$

$16\times x=16\times9$

$=144$

The numbers are $9$ and $144$.

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Updated on: 10-Oct-2022

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