One number is 10 greater than another. If the lesser number is subtracted from three times the greater number, the difference is 84. Find the numbers. x = one number x + 10 = other number 3(x + 10)  x = 84 {lesser number is subtracted from 3 times greater, difference is 84} 3x + 30  x = 84 {used distributive property} 2x + 30 = 84 {combined like terms} 2x = 54 {subtracted 30 from each side} x = 27 {divided each side by 2} x + 10 = 37 {substituted 27, in for x, into x + 10} 27 and 37 are the two numbers  Algebra House
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