Four times the first of three consecutive even integers is six more than the product of two and the third integer. Find the integers.

Question

badhi · Answer

I think there is something missing here you need to have and operator for the first three consecutive even integers. Is it four times the "sum of" three consecutive even integers or is it four times the "multiplication" of the consecutive even integers?

texaschic101 · Answer

3 consecutive EVEN integers...
x, x + 2, x + 4

4(x) = 2(x + 4) + 6
4x = 2x + 8 + 6
4x - 2x = 8 + 6
2x = 14
x = 7

must be doing something wrong because I am getting an odd number

texaschic101 · Answer

@phi ...help set this up please

inowalst · Answer

Yes, but the integers are x, x+2, x+4

texaschic101 · Answer

but x has to be an even number...not an odd one

inowalst · Answer

Hm.

texaschic101 · Answer

@Loser66 ...help

inowalst · Answer

@paki

texaschic101 · Answer

we WILL figure this out...lol

inowalst · Answer

lol Okay

texaschic101 · Answer

phi...what did I screw up on ?

inowalst · Answer

x=7
x+2=7+2=9
x+4=7+4=11
???

texaschic101 · Answer

but the integers need to be even...not odd

phi · Answer

I think the problem is "ill-posed"

loser66 · Answer

You need form the even integer as 2n, 2n+2, 2n+4 , not x

loser66 · Answer

hence "four times the first of them" is 4*2n =8n
product of the two and the third is (2n+2)(2n+4) 
blahblah....

texaschic101 · Answer

wait....is it the produce of 2 and the 3rd integer....or is it the product of the 2nd and 3rd integer ?

inowalst · Answer

I think its of 2 and the 3rd integer.

acxbox22 · Answer

yeah it cant be 2nd integer...i tried it already

texaschic101 · Answer

4(2n) = 2(2n + 4) + 6
8n = 4n + 8 + 6
8n - 4n = 14
4n = 14
nope....I am not understanding this

texaschic101 · Answer

unless the integers are fractions ?? ....sorry....I do not know this one

texaschic101 · Answer

nvm..integers cannot be fractions

loser66 · Answer

I think: "No solution" is a solution.

texaschic101 · Answer

oh.....thats tricky

acxbox22 · Answer

are you sure it isnt consecutive ODD integers?

texaschic101 · Answer

now that would work...lol

loser66 · Answer

Suppose it is 2, 4,6
how can 4*2 = (4)(6) + 6??

texaschic101 · Answer

true ^^

acxbox22 · Answer

or 12,14,16
4 x 12 = (14 x 16) +6?
or
4 x 12= (2x16)+6

theraggedydoctor · Answer

Okay.