NumbersThe product of two positive numbers is 11520 and their quotient is 9/5. Find the difference of two numbers.Options60747064

To find the difference between two numbers, we need to first determine what those numbers are.

Let's call the two numbers x and y. We are given two pieces of information about these numbers:

1. The product of the two numbers is 11520: xy = 11520
2. The quotient of the two numbers is 9/5: x/y = 9/5

To solve this problem, we can use a system of equations. We can rearrange the second equation to solve for x in terms of y:

x/y = 9/5 x = (9/5)y

Now we can substitute this expression for x into the first equation:

(9/5)y * y = 11520 (9/5)y^2 = 11520

To simplify this equation, we can multiply both sides by 5/9:

y^2 = (11520 * 5) / 9 y^2 = 6400

Taking the square root of both sides, we find:

y = √6400 y = 80

Now that we have the value of y, we can substitute it back into the expression for x:

x = (9/5) * 80 x = 144

Therefore, the two numbers are x = 144 and y = 80.

To find the difference between these two numbers, we subtract the smaller number from the larger number:

Difference = 144 - 80 Difference = 64

So, the difference between the two numbers is 64.