SOLUTION: Find the greatest of 4 consecutive integers if the least integer decreased by twice the greatest integer is 14.

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Question 176013: Find the greatest of 4 consecutive integers if the least integer decreased by twice the greatest integer is 14.
Found 2 solutions by Mathtut, checkley75:
Answer by Mathtut(3670) About Me  (Show Source):
You can put this solution on YOUR website!
lets call the integers a,a+1,a+2,a+3
:
a-2(a+3)=14
:
a-2a-6=14
:
-a=20
:
highlight%28a=-20%29
:
integers are:system%28-20%2C-19%2C-18%2C-17%29

Answer by checkley75(3666) About Me  (Show Source):
You can put this solution on YOUR website!
Let x, x+1, x+2 & x+3 be the 4 consecutive integers.
x-2(x+3)=14
x-2x-6=14
-x=14+6
-x=20
x=-20 ans.
Proof
-20-2(-20+3)=14
-20-2*-17=14
-20+34=14
14=14