Consecutive integers

Question

Find three consecutive integers such that the sum of the first two integers is equal to three times the largest integer

Answer 1

Three consecutive integers can be represented by x. (x+1) and (x+2)

The sum of the first two integers can then be represented as x +(x+1) and three times the largest can be represented by 3(x+2)

Therefore

x +(x+1) = 3 (x+2)

2x+1 = 3x +6

x=-5

x+1 = -4

x +2= -3

So the three consecutive integers are -5,-4,-3