Two times the larger of two consecutive integers is three more than three times the smaller integer

Question

Please help me solve this. Two times the larger of two consecutive integers is three more than three times the smaller integer

Answer 1

Let the 2 consecutive integers be n and n + 1.  Then

 

2(n + 1) = 3n + 3

 

2n + 2 = 3n + 3

 

-n = 1

 

n = -1

 

The 2 consecutive integers are -1 and 0.