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

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

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*