SOLUTION: The difference between two numbers is 5. The sum of four times the smaller and the larger is 35. Find the numbers.

Question 549025: The difference between two numbers is 5. The sum of four times the smaller and the larger is 35. Find the numbers.
Answer by mathie123(224) (Show Source): You can put this solution on YOUR website!
Lets call our two numbers x (the smaller number) and y (the larger number) (in general, whenever you are given a word problem, let some variable represent what you are looking for).
From the question we can get the following equations:
(1)
and
(2)
Rearranging (1) we get:
(3)

Now substitute (3) into (2) to get:

Now substitute this value for x back into (3) to find our y

So our bigger number is 12 and our smaller number is 6.

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