Question

The sum of three consecutive odd integers is –27. What are the numbers?

A.
{–7, –9, –11}

B.
{–10, –9, –8}

C.
{–5, –9, –13}

D.
{–11, –13, –15}

Answer 1

hint : any two adjacent odd numbers differ by 2

Answer 2

for ex, 3 and 5 are two adjacent odd numbers,
they differ by 5-3 = 2

Answer 3

so, if u say below are the required odd numbers :-

\(x-2,~ x,~ x+2\)

then, since they add up to -27, we have :-

\(x-2 + x + x+2 = -27\)

Answer 4

solve \(x\)

Answer 5

x has to be all the same number right ?

Answer 6

\(x-2 + x + x+2 = -27\)

group like terms

\(x+x+x -2 + 2 = -27\)

\(3x = -27\)

\(x = -9\)

Answer 7

so, the required numbers wud be :-

\(x-2, ~x, ~x+2\)

\(-9-2, ~-9, ~-9+2\)

\(-11, ~-9, ~-7\)

Answer 8

see if that makes some sense

Answer 9

Yea it kinda makes sence, but where did this come from. x - 2, x, x + 2 ?

Answer 10

very good question :)
notice that they're differing by "2"
so they represent consecutive odd numbers

Answer 11

and can there be questions like this too ?
The sum of three consecutive even integers is –27. What are the numbers? (change odd to even)

Answer 12

If it's consecutive even integers will it turn into like this.
x - 1, x, x + 1?

Answer 13

let me ask u a different question first :)

Answer 14

consider sum of "3 even integers"

Answer 15

can the sum be ever odd ?

Answer 16

no

Answer 17

then, wat u asking is illegal right ?

Answer 18

The sum of three consecutive even integers is –27. What are the numbers? (change odd to even)

Answer 19

yea

Answer 20

sum of 3 even integers can never be odd,
so nobody can find the numbers ;P

Answer 21

change ur question :)

Answer 22

You can forget about my last question, thank you :)

Answer 23

np :)