The Sum of three consecutive even integers is 980. Determine the integers.

Question

misty1212 · Answer

HI!!

satellite73 · Answer

guess and check, not algebra
try 320, 322, 324
if that doesn’t work, adjust

haziqueaqeel2971 · Answer

Actually, I need help in the thing that we need to use Quadratics to find the numbers.

misty1212 · Answer

that doesnt' work @satellite73 
$$320+322+324=966$$

haziqueaqeel2971 · Answer

Like using Quadratic Formula, Discriminant, Completing the square.

satellite73 · Answer

yeah @misty1212  i know, i was just giving a start 
since that is too low, up them

misty1212 · Answer

hmm ok i see
but no quadratic formula right?

haziqueaqeel2971 · Answer

I actually don't get what your trying to say.

satellite73 · Answer

nope
if you want to do it the math teacher way, solve $$n+n+2+n+4=980$$

misty1212 · Answer

isnt that just $3n+6=980$?

haziqueaqeel2971 · Answer

Satellite73, then what does N represent?

satellite73 · Answer

the first number

haziqueaqeel2971 · Answer

okay, I actually don't understand. It's a thinking question.

satellite73 · Answer

consecutive even means like $$324,326,328$$

haziqueaqeel2971 · Answer

Yes yes. But how do you do it?

satellite73 · Answer

so if the first one is $n$ then the second is $n+2$ and the third is $n+4$

misty1212 · Answer

you can solve $$3n+6=980$$ right @HaziqueAqeel2971 ?

haziqueaqeel2971 · Answer

Please explain me.

haziqueaqeel2971 · Answer

What do you mean by 3n+6? Is it possible using some quadratic things?

haziqueaqeel2971 · Answer

Using the quadratic formula? Using the completing the square?

satellite73 · Answer

quadratic means the degree is 2, like $x^2+6x=18$

haziqueaqeel2971 · Answer

Lol, sorry. I am really sorry if you don't understand.

satellite73 · Answer

this is just a linear equation, solve in two steps

haziqueaqeel2971 · Answer

Okay, tell me how too. :D

satellite73 · Answer

subtract 6, divide by 3

haziqueaqeel2971 · Answer

Ohhh. Then?

satellite73 · Answer

then you are donej

satellite73 · Answer

$$3n+6=980$$ subtract 6 from both sides, then divide both sides by 3, that will give you the first number of the three you are looking for

haziqueaqeel2971 · Answer

Why 3n+6?

satellite73 · Answer

explanation is above

haziqueaqeel2971 · Answer

Okay, I saw it. But why did you put 2 + 4?

mathmale · Answer

I agree with satellite73 here:  n+n+2+n+4=980

think what these terms represent:

n is the first term.

n+2 is the first even number following n.

n+4 is the second even number following n.

n                 +           n+2           +           n+4 is the sum of 3 consecutive even numbers, and this sum is equal to 980.

Hope this helps make a little clearer what is happening here.