# 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 507349: The difference of two numbers is 36. The larger is 6 less than 4 times the smaller. What are the two numbers?Answer by algebrahouse.com(1079)   (Show Source): You can put this solution on YOUR website!"The difference of two numbers is 36. The larger is 6 less than 4 times the smaller. What are the two numbers?" x = smaller 4x - 6 = larger {larger is six less than four times smaller} 4x - 6 - x = 36 {difference of two numbers is 36 3x - 6 = 36 {combined like terms} 3x = 42 {added 6 to both sides} x = 14 {divided both sides by 3} 4x - 6 = 50 {substituted 14, in for x, into 4x - 6} smaller number is 14 larger number is 50 www.algebrahouse.com