Answer: 14, 15 and 16
Explanation:
Let the numbers be a, a+1 and a+2
We are told that the three consecutive integers are such that three times the smallest is 26 more than the largest. This can be formed into an equation as:
(3 × a) = (a+2 + 26)
3a = a + 28
3a - a = 28
2a = 28
a = 28/2
a = 14
The numbers are 14, 15 and 16