SOLUTION: The difference of two numbers is 36. The larger is 6 less than 4 times the smaller. What are the two numbers?

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Question 773480: The difference of two numbers is 36. The larger is 6 less than 4 times the smaller. What are the two numbers?
Answer by pakhi(24) About Me  (Show Source):
You can put this solution on YOUR website!
Let the numbers be 'x' and 'y'.
Let 'x' be the larger number.

So x - y = 36 ------------(1)
4y - x = 6 ------------(2)
Rearranging equation 2 we get
-x + 4y = 6
x - y = 36 ----------(1)
-------------
Adding the above two equations we have
3y = 42
or y = 14
From equation(1) x - y = 36
or x = 36 + y = 36 + 14 = 50
So the numbers are 50 and 14.

check: Condition 1 : 50 - 14 = 36
Condition 2 : 4*14 - 50 = 56 - 50 = 6