Question

the product of two number is 4032 and their quotient 9/7 find the number

Answer 1

9/7× X=4032
Then shift 9/7 into R.H.S
X=4032×7/9
x=3136

I HOPE THIS MIGHT HELP YOU MATE
Mark me as brainlist please

Answer 2

STEP 1: Define y:

Let one number be y

STEP 2: Express the other number in term of y:

The product of the two numbers is 4032

⇒ The other number will be 4032/y

STEP 3: Form the equation and solve for y:

Given that their quotient is 9/7

$y \div \dfrac{4032}{y} = \dfrac{9}{7}$

Change the divide fraction to multiply fraction:

$y \times \dfrac{y}{4032} = \dfrac{9}{7}$

Multiply:

$\dfrac{y^2}{4032} = \dfrac{9}{7}$

Cross multiply:

$7y^2 = 36288$

Divide both side by 7:

$y^2 = 5184$

Square root both sides:

$y = 72$

STEP 4: Find the numbers:

one number = y = 72

The other number = 4032/y = 4032/72 = 56

Answer: The two numbers are 72 and 56