Consecutive numbers are numbers that increase or reduce by 1 step.
Let the first consecutive number be x.
So the three consecutive number in increasing order are:
x, x + 1, x + 2
Notice each is increase of 1.
3*(Sum of 1st and 3rd) = 4*second + 30
3*(x + x + 2) = 4*(x+1) + 30
3*(2x + 2) = 4*x + 4*1 + 30
3*2x + 3*2 = 4x + 4 + 30
6x + 6 = 4x + 34
Simplify by taking the xs to one side and leaving the numbers on the other side
6x - 4x = 34 - 6
2x = 28 Divide by 2
x = 28/2
x = 14
Recall the largest of the consecutive number = x + 2, x = 14
Largest = x + 2 = 14 + 2 = 16
Largest = 16
I hope this helps.
