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

To find the difference of the two numbers, we can use the given information about their product and quotient.

Let's assume the two numbers are x and y.

From the given information, we have two equations:

Equation 1: x * y = 11520 Equation 2: x / y = 9/5

To solve this system of equations, we can use substitution or elimination method. Let's use substitution method.

From Equation 2, we can rewrite it as x = (9/5) * y.

Substituting this value of x into Equation 1, we get:

(9/5) * y * y = 11520

Simplifying this equation, we have:

(9/5) * y^2 = 11520

Multiplying both sides by 5/9 to isolate y^2, we get:

y^2 = (11520 * 5) / 9

Simplifying further, we have:

y^2 = 6400

Taking the square root of both sides, we get:

y = √6400

y = 80

Now, substituting this value of y back into Equation 2, we can find the value of x:

x = (9/5) * 80

x = 144

Therefore, the two numbers are 144 and 80.

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

Difference = 144 - 80 = 64

So, the difference of the two numbers is 64.