SOLUTION: Find three consecutive even numbers so that when I double the largest and then add the smallest, I get 116. Write an equation and solve. Trial and Error: 36,38,40 40+40=80 Large

Algebra ->  Expressions-with-variables -> SOLUTION: Find three consecutive even numbers so that when I double the largest and then add the smallest, I get 116. Write an equation and solve. Trial and Error: 36,38,40 40+40=80 Large      Log On


   

Question 66830This question is from textbook
: Find three consecutive even numbers so that when I double the largest and then add the smallest, I get 116. Write an equation and solve.
Trial and Error:
36,38,40
40+40=80 Largest Doubled
80+36=116 Largest Doubled + Smallest
 This question is from textbook

Found 2 solutions by checkley71, andrewl:
Answer by checkley71(8403) About Me  (Show Source):
You can put this solution on YOUR website!
(X+4)*2+X=116
2X+8+X=116
3X=116-8
3X=108
X=108/3
X=36 SOLUTION FOR THE SMALLEST NUMBER
36+4=40 SOLUTION FOR THE LARGEST NUMBER
PROOF
2*40+36=116
80+36=116
116=116

Answer by andrewl(1) About Me  (Show Source):
You can put this solution on YOUR website!
Trial and Error:
36,38,40
40+40=80 Largest Doubled
80+36=116 Largest Doubled + Smallest