SOLUTION: 16. Find three consecutive numbers such that the sum of the first two is the same as sixteen more than the third.

Algebra ->  Inequalities -> SOLUTION: 16. Find three consecutive numbers such that the sum of the first two is the same as sixteen more than the third.      Log On


   

Question 365037: 16. Find three consecutive numbers such that the sum of the first two is the same as sixteen more than the third.
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!


Hi, 

Let x represent smallest of the consecutive integers, (x+1) and (x+2) the other two

Write as we Read***

x + (x+1) = (x+2) + 16 

solving for x

x = 17

17, 18, 19  are the three consecutive integers

checking our answer

35 = 19 + 16