Two consecutive integers {ACT}

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

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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