Question

Three times the smallest of three consecutive odd integers is the same as 1 subtracted from twice the largest number. Find all three integers.

Answer 1

Let the three consecutive odd integers be : x-1, x, x + 1

So. According to the question:

\(3 \cdot (x - 1) = 2 \cdot (x + 1) - 1 \)

\(3x - 3 = 2x + 2 - 1\)

\(3x - 3 = 2x + 1\)

Can you solve this for x ??

Answer 2

How would the x's all be odd if you do it like this?

Answer 3

Oh what the hell...

Wait..

Answer 4

Consecutive odd integers will be : x, x + 2, x + 4

Answer 5

lol good question. Why didn't you make your numbers to be x, x+2 and x+4

Answer 6

Or you can let them as :

x - 2, x , x + 2...

Answer 7

But when you solve for the x in the last equation, x=4

Answer 8

That is wrong @katoney55

Answer 9

So the equation now would be
3 X (x+2) = 2 X (x+4) - 1

Answer 10

Let the three consecutive odd integers be : x - 2, x and x + 2.

So:

\(3 \cdot(x - 2) = 2 \cdot (x + 2) - 1\)

\(3x - 6 = 2x + 3\)

Solve this..

Answer 11

Yes the equation will be that now..

Solve that @katoney55

Answer 12

Or let me try using x, x + 2 and x + 4

\[3x = 2(x + 4) -1 \implies 3x = 2x + 7 \implies x = 7\]

Answer 13

Awesome! Thank you so much @waterineyes

Answer 14

1, 3 & 5 are your odd numbers

Answer 15

Solve that @katoney55 and check if you are getting x as 9..

Answer 16

*5

Answer 17

I put in x, x+2, and x-2
I got -1, -3, and -5.

Answer 18

Order is important..

Answer 19

Smallest number will be : (x - 2)

and largest number will be : ( x + 2)..

Answer 20

Can you show how you got -1 -3 and -5 ??

Answer 21

3 X (x-2) +2 X (x+2) -1

Answer 22

\[3 \cdot(x - 2) = 2 \cdot (x + 2) - 1\]

\[3x - 6 = 2x + 3\]

Solve this for x..

Answer 23

\[3x - 2x = 6 + 3 \implies x = 9\]

Answer 24

So the numbers will be :

\[9 -2, 9, 9+2\]

Answer 25

\[3(2x+1)=2(2x+5)-1\]Solve for x. x=3.
Set x = 3 in the following list elements and evaluate:
{(2 x + 1), (2 x + 3), (2 x + 5)}
{7, 9, 11}

Answer 26

@mayayamfundo three times the smallest number means 3x..

Answer 27

7, 9 ,11. I see what I did wrong, I subtracted from one side when I was suppose to add!

Answer 28

7, 9,11! I got it! thank you!

Answer 29

You are adding the three numbers but that is not what question is saying:

it is saying that:

3x = 2(x + 4) - 1

Answer 30

oooops, my bad. Misreading

Answer 31

Yes well done @katoney55

Answer 32

It is okay...

Answer 33

Thank you @waterineyes

Answer 34

Welcome dear..

@robtobey you were doing right earlier why you deleted that ??

Answer 35

Three times the smallest of three consecutive odd integers is the same as 1 subtracted from twice the largest number.

3*7 = 11*2 - 1
21 = 21

Answer 36

Yep verification is right...

Answer 37

@waterineyes

I was hurrying along and was not sure of the calculations.

Answer 38

Okay..