SOLUTION: One positive number is 5 times another number. The difference between the two numbers is 224, find the numbers

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

Checking our answer:
280 - 224 = 56 Correct!
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