When two numbers are added together the result is 45. Twice the greater number is six more than five times the lesser number. What are the numbers?
x = lesser number {the sum of the two numbers is 45}45 - x = greater number 2(45 - x) = 5x + 6 {twice the greater is six more than five times the lesser} 90 - 2x = 5x + 6 {used distributive property} 7x = 84 {added 2x and subtracted 6 from each side} x = 12 {divided each side by 7} 45 - x = 33 {substituted 12, in for x, into 45 - x} 12 and 33 are the two numbersAsk the House
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