Question

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

Answer 1

Step-by-step explanation:

let the numbers be x and 16x

16x^2 =1296

x^2 =81

x= 9 and -9

so the number will be 9,144 and -9,-144

please mark as brainliest

Answer 2

Given,

• The Product of two Numbers is 1296.
• If one Number is 16 times the other .

To Find,

• The Number

Solution :

$\longrightarrow$ Suppose the Other  Number be a

Therefore, 16 times of the Number = 16 × a = 16a

$\longmapsto \underline{\large{\red{\mathfrak{According\:to\:the\:Question :}}}}$

• The Product of two Number is 1296

$\implies \sf{ a \times 16a = 1296}$

$\implies \sf{16a^{2} = 1296}$

$\implies \sf{a^{2} = \dfrac{1296}{16}}$

$\implies \sf{a^{2} = 81}$

$\implies \sf{a = \sqrt{81}}$

$\implies \boxed{\sf{a = 9}}$

Therefore,

$\bigstar \boxed{\pink{\tt{The\:Number\:are\:a\:and \:16a - 9 , 144}}}$

$\rule{200}2$