Question 571495: One positive number is 5 times another number. The difference between the two numbers is 224, find the numbers Answer by mathsmiles(68) (Show Source):
You can put this solution on YOUR website! Let X and Y be the two positive numbers.
X = 5Y.
Since X is larger (they're both positive), we can set up the difference equation as follows:
X - Y = 224.
Now let's substitute for X from the first equation:
(5Y) - Y = 224
4Y = 224
Divide both sides by 4 giving
Y = 56
X = 5 times 56 = 280