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
The bigger number is 568 and the smaller number is 72.
Two equations can be derived from the question:
x + y = 640 equation 1
x - 7y = 64 equation 2
Where:
x = bigger number
y = smaller number
In order to determine the value of y, subtract equation 2 from equation 1
8y = 576
Subtract both sides of the equation by 8
y = 72
Substitute for y in equation 1
72 + x = 640
x = 640 - 72
x = 568
To learn more about simultaneous equations, please check: https://brainly.com/question/25875552
