# SOLUTION: The difference of two numbers is 14 . The larger number is 3 more than twice the smaller number.Find the numbers.

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 Click here to see ALL problems on Linear-systems Question 464478: The difference of two numbers is 14 . The larger number is 3 more than twice the smaller number.Find the numbers. Answer by amoresroy(333)   (Show Source): You can put this solution on YOUR website!The difference of two numbers is 14 . The larger number is 3 more than twice the smaller number.Find the numbers. Let x = the smaller number y = the larger number 1st equation: y - x = 14 2nd equation: y = 2x + 3 Substitute y = 2x + 3 in equation 1 to get (2x+3)-x = 14 x = 14-3 x = 11 Substitute x = 11 in equation 2 to get y = 2(11) + 3 y = 25 The numbers are 11 and 25.