One positive number is 5 times another number. The difference between the two numbers is 1264, find the numbers.
Let X equal one number, let Y equal the other number. Therefore, write two equations as follows and solve for X and Y:
EQUATION 1: X = 5Y
EQUATION 2: X - Y = 1264
Substitute 5Y for X in EQUATION 2
EQUATION 2*: 5Y - Y = 1264
4Y = 1264
4Y/4 = 1264/4
Y = 316
SUBSTITUTE VALUE FOR Y INTO EQUATION 1
X = (5)(316)
X = 1580
SOLUTION IS X = 1580, Y = 316
Therefore, the two numbers are 1580 and 316.
