Problema Solution

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.

Answer provided by our tutors

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


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the numbers are 568 and 72.