SOLUTION: Find 4 consecutive even numbers such that 3/4 of the sum of the 2nd and 4th equal the sum of the first and the third.

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Question 717809:
Find 4 consecutive even numbers such that 3/4 of the sum of the 2nd and 4th equal the sum of the first and the third.
Answer by checkley79(3341) About Me  (Show Source):
You can put this solution on YOUR website!
LET X, X+2, X+4 & X+6 BE THE 4 EVEN NUMBERS.
.75(X+2+X+6)=X+X+4
.75(2X+8)=2X+4
1.5X+6=2X+4
1.5X-2X=4-6
-.5X=-2
X=-2/-.5
X=4 ANS. FOR THE SMALLER NUMBER.
4+2=6 ANS. FOR THE SECOND NUMBER.
4+4=8 ANS. FOR THE THIRD NUMBER.
4+6=10 ANS. FOR THE LARGEST NUMBER.
PROOF:
.75(6+10)=4+8
.75*16=12
12=12