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
45  x = greater number {the sum of the two numbers is 45} 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 numbers Ask the House
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January 2021
