Question

The sum of two consecutive integers is 59. Write an equation that models this situation and find the values of the two integers.
A.) n+n+1=59;n=30;n+1=31
B.) n+2n=59;n=19;2n=38
C.) n+n+1=59;n=29;n+1=28
D.) n+n+1=59;n=29;n+1=30

Answer 1

I recommend looking at each answer and trying to rule it out...

Answer 2

and how do you do that? @Shane_B

Answer 3

Let's take A for example. It states 3 things:

1) n+n+1=59
The "sum of two consecutive integers" is the same as saying n+n+1...and it's saying that it equals 59...so that looks ok.

2) n = 30
Maybe it doesn...don't know yet

3) n + 1 = 31
If n = 30 (as #2 says above) then n +1 = 31...so that looks ok.

Now let's see if it all makes sense when you plug n=30 into the first equation (#1 above):

30 + 31 = 59

Nope...that's not right...so this answer cannot be correct

Answer 4

If you do the same process for the other two then you will see which answer is correct

Answer 5

i did the steps but im getting c but im not sure @Shane_B

Answer 6

C states that n=29;n+1=28

If you look at that closely, you'll see that if n = 29, then n + 1 cannot equal 28

Answer 7

ooo i see now its D @Shane_B

Answer 8

You win :)

Answer 9

yaayyyy thank you soo much @Shane_B

Answer 10

No problem :)