SOLUTION: the sum of the least and greatest of 3 consecutive integers is 60.What are the integers? John has a board 3ft long. he plans to use it to make 4 shelves whose lenghts are to

Algebra ->  Expressions-with-variables -> SOLUTION: the sum of the least and greatest of 3 consecutive integers is 60.What are the integers? John has a board 3ft long. he plans to use it to make 4 shelves whose lenghts are to       Log On


   

Question 57901: the sum of the least and greatest of 3 consecutive integers is 60.What are the integers?

John has a board 3ft long. he plans to use it to make 4 shelves whose lenghts are to be a series of consecutive even numbers.How long should each shelf be in inches?


Answer by faceoff57(108) About Me  (Show Source):
You can put this solution on YOUR website!
x+(x+1)+(x+2)=60
x+x+1+x+2=60
3x+3=60
3x=57
x=19
19,20,21
x+(x+2)+(x+4)+(x+6)=36inches
4x+12=36
4x=24
x=6
6,8,10,12