The product of two numbers is 1575 and their quotient is 9/7. Then the sum of the numbers is

Let's denote the two numbers as x and y.

From the problem, we know that:

1. x*y = 1575 (The product of the two numbers is 1575)

2. x/y = 9/7 (Their quotient is 9/7)

We can rearrange equation 2) to find y in terms of x: y = x * (7/9)

Now we can substitute y in equation 1) with x * (7/9):

x * (x * 7/9) = 1575 7/9 * x^2 = 1575 x^2 = 1575 * 9/7 x^2 = 2025 x = sqrt(2025) x = 45

Substitute x = 45 in equation 2) to find y:

45/y = 9/7 y = 45 * 7/9 y = 35

So, the sum of the numbers is x + y = 45 + 35 = 80.