Question

the product of 2 numbers is 1296.if one number is 16 times the other.find the two numbers​

Answer 1

Answer:

x = 144 y = 9

Step-by-step explanation:

let the number be x and y

product of two numbers = 1296

x × y = 1296 equ (1)

one number is 16 times the other

x = 16y

substitute x = 16y in equ (1)

16y × y = 1296

16y² = 1296

${y}^{2} = \frac{1296}{16} \\ {y}^{2} = 81 \\ y = \sqrt{81} \\ y = 9 \\ \\ x = 16y \\ x = 16 \times 9 \\ x = 144$

x = 144 y = 9

verification

x × y

= 144 × 9

= 1296

Hope you get your answer