# SOLUTION: The larger of two numbers is 4 less than 3 times the smaller number. If 3 more than twice the larger number is decreased by twice the smaller number, the result is 11. Find the n

Algebra ->  Algebra  -> Systems-of-equations -> SOLUTION: The larger of two numbers is 4 less than 3 times the smaller number. If 3 more than twice the larger number is decreased by twice the smaller number, the result is 11. Find the n      Log On

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 Question 268706: The larger of two numbers is 4 less than 3 times the smaller number. If 3 more than twice the larger number is decreased by twice the smaller number, the result is 11. Find the numbers.Answer by dabanfield(803)   (Show Source): You can put this solution on YOUR website!The larger of two numbers is 4 less than 3 times the smaller number. If 3 more than twice the larger number is decreased by twice the smaller number, the result is 11. Find the numbers. Let x be the smaller number and y the larger number. Then we have: 1.) y = 3x - 4 2.) (2y + 3) - 2x = 11 Substitute 3x-4 for y from equation 1.) in equation 2.) and solve for x. Then calculate y = 3x-4