SOLUTION: find 3 consecutive even integers such that 4times the first minus twice the third is equal to the second.

Algebra ->  Problems-with-consecutive-odd-even-integers -> SOLUTION: find 3 consecutive even integers such that 4times the first minus twice the third is equal to the second.       Log On


   

Question 710606: find 3 consecutive even integers such that 4times the first minus twice the third is equal to the second.
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

let x be first even integer
x+%2B+2 second even integer
x+%2B+4 third even integer
if 4 times the first minus twice the third is equal to the second, we have
4x-2%28x+%2B+4%29=x+%2B+2..........solve for x
4x-2x-8=x+%2B+2
2x-8=x+%2B+2
2x-x=8+%2B+2
highlight%28x=10%29........first even integer
x+%2B+2
10+%2B+2
highlight%2812%29..........second even integer

x+%2B+4
10+%2B+4
highlight%2814%29..........third even integer