SOLUTION: Three times the lesser of two consecutive even integers is 6 less than six times the greater number. Find the integers.

Algebra ->  Problems-with-consecutive-odd-even-integers -> SOLUTION: Three times the lesser of two consecutive even integers is 6 less than six times the greater number. Find the integers.       Log On


   

Question 1204524: Three times the lesser of two consecutive even integers is 6 less than six times the greater number. Find the integers.
Found 3 solutions by mananth, Alan3354, josgarithmetic:
Answer by mananth(16946) About Me  (Show Source):
You can put this solution on YOUR website!
Three times the lesser of two consecutive even integers is 6 less than six times the greater number. Find the integers.
let the integers be x and x+2
Three times the lesser of two consecutive even integers is 6 less than six times the greater number.
as per the condition
3x = 6(x+2) -6
3x =6x+12-6
3x= 6x-6
3x-6x = 6x+6-6x
-3x=6
x=-2
x+2=0
-2 , 0 are the integers



Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
Three times the lesser of two consecutive even integers is 6 less than six times the greater number. Find the integers.
---------------
3n + 6 = 6(n+2) = 6n + 12
3n + 6 = 0
n = -2
---> -2 and zero

Answer by josgarithmetic(39621) About Me  (Show Source):
You can put this solution on YOUR website!
n, any integer even or odd
2n, an EVEN integer

The two expected integers, 2n and 2n+2
3%282n%29=6%282n%2B2%29-6
-
2n=2%282n%2B2%29-2
n=2n%2B2-1
n=-1

RESULT:
Lesser integer, -2
Greater integer, 0

The same result happens if starting with just n and assuming it to be even.