For two consecutive integers, the result of adding the smaller integer and triple the larger integer is 79. What are the two integers? A.) 18 , 19 B.) 19 , 20 C.) 20 , 21 D.) 26 , 27 E.) 39 , 40 x = first consecutive integer
x + 1 = second consecutive integer {consecutive integers increase by 1} x + 3(x + 1) = 79 {adding the smaller and triple the larger is 79} x + 3x + 3 = 79 {used distributive property} 4x + 3 = 79 {combined like terms} 4x = 76 {subtracted 3 from each side} x = 19 {divided each side by 4} x + 1 = 20 {substituted 19, in for x, into x + 1} 19 and 20 are the two consecutive integers B.) 19 , 20  Algebra House
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