SOLUTION: the differences between two numbers is 15. If 8 added to twice the greater number, the result is 4 less than 3 times the lesser number. find the two numbers.

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Question 1095281: the differences between two numbers is 15. If 8 added to twice the greater number, the result is 4 less than 3 times the lesser number. find the two numbers.
Answer by CubeyThePenguin(3113) About Me  (Show Source):
You can put this solution on YOUR website!
x = greater number
y = lesser number

x - y = 15
2x + 8 = 3y - 4

x - y = 15
2x - 3y = -12

Multiply the first equation by -3.

-3x + 3y = -45
2x - 3y = -12

Add to get -x = -57.

The numbers are 57 and 42.