SOLUTION: find three consecutive integers such that 3 times the least is 4 more than twice the greatest

Algebra ->  Customizable Word Problem Solvers  -> Numbers -> SOLUTION: find three consecutive integers such that 3 times the least is 4 more than twice the greatest      Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


   



Question 149822: find three consecutive integers such that 3 times the least is 4 more than twice the greatest
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
find three consecutive integers such that 3 times the least is 4 more than twice the greatest
:
"three consecutive integers:
x, (x+1), (x+2)
;
Write an equation for the statement:
"3 times the least is 4 more than twice the greatest"
3x = 4 + 2(x+2)
;
3x = 2x + 4 + 4
:
3x = 2x + 8
:
3x - 2x = 8
:
x = 8, 9, 10 are the 3 integers
:
:
Check solution in the statement:
" 3 times the least is 4 more than twice the greatest"
3(8) = 4 + 2(10); confirms our solution