The sum of two numbers is 640. if you divide the bigger number by the smaller, you’ll get quotient 7 and remainder 64. find the numbers.

let 'x' and 'y' represent the two numbers and x>y

The sum of two numbers is 640:

x + y = 640

If you divide the bigger number by the smaller, you’ll get quotient 7 and remainder 64:

x = 7y + 64

by solving the system of equations:

x + y = 640

x = 7y + 64

we find:

x = 568

y = 72

"a" determine whether sage found the correct quotient. show your work

step-by-step explanation: