Question

the product of two numbers is 1296 if one number is 16 times the other find the two numbers

Answer 1

Given the product of two numbers = 1296
Also given that , one number is 16 times the other number
Let the other number be 'x' .
16 times of that number = 16×x = 16x
Now , Product of two numbers = 1296
⇒x×16x = 1296
⇒16x² = 1296
⇒ x² = 1296/16
⇒ x² = 81
⇒ x = √81 = 9
Therefore , the numbers are (x) = 9 ,
(16x) = 16 × 9 = 144

Answer 2

let the number be x and16x
their product =x×16x
1296/16=x^2
81=x^2
9=x
16x=144