SOLUTION: The larger of two numbers is 8 times the smaller. If the larger number exceeds the smaller by 56, find the numbers.

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Question 357097: The larger of two numbers is 8 times the smaller. If the larger number exceeds the smaller by 56, find the numbers.
Answer by neatmath(302) About Me  (Show Source):
You can put this solution on YOUR website!

Let x be the larger number, and y be the smaller number. We know:

x=8y and

x=y%2B56

So, we can solve this system of equations by:

8y=y%2B56 substituting

7y=56

y=8

Thus

x=8%2A8

x=64

The two numbers are 64 and 8.

I hope this helps!