Question

- The sum of 3 Consecutive oddnumbers is 36. What are thenumbers?​

Answer 1

Answer: 10, 12, and 14

Step-by-step explanation: When we look at consecutive numbers we usually think of numbers that are right next to each other. If we are talking about odd numbers, then we will obviously be skipping the even numbers. To find the consecutive odd numbers that have a sum of 36, we don't know where to start so we need to start with a variable.

In this problem, let's use "X" as our variable.

the next thing we need to think of is what will be our next consecutive odd number. If the random odd number we put is X then if we want to find our next consecutive odd number we would be adding 2 and to represent that algebraically we would have X + 2. Our last integer we will have to add 2 again if we have X + 2 we have to add 2 again so we will have X + 4.

Since we are talking about the sum, we can rewrite our equation.

X + X + 2 + X + 4 = 36

Since we have 3Xs on the same side, we can combine them. We can also combine the 4 and the 2 since they are on the same side.

3x + 6 = 36

      -6    -6     ← subtract 6 on both sides

3x = 30

÷3    ÷3     ← divide both sides by 3

X = 10

X + 2 = 12

X + 4 = 14

Therefore, our three consecutive odd numbers are 10, 12, and 14.