Three consecutive integers are such that four times the smal

Three consecutive integers are such that four times the smallest is three times the largest. What is the largest of these three integers?
(A) 6 (B) 8 (C) 10 (D) 12 (E) 14

Solution

Let x be the smallest of the three integers. Then, x+1 is the next integer, and x+2 is the biggest integer. We need 4x = 3(x+2), so that 4x = 3x + 6, resulting in x = 6