What are consecutive numbers?

-The sum of TWO consecutive whole numbers is 99. What are they?

-The sum of THREE consecutive whole numbers is 99. What are they?

Can someone please show me if there is working out? (if needed)

consecutive numbers are numbers which are next to each other. for example, 2 and 3 are consecutive. also, 5, 6, 7 and 8 are consecutive.

for the first question,
first, we represent the unknowns using variables.
let x = first number
let x+1 = second number
note that the second number is x+1 because they are consecutive, and thus the difference between them is 1.
then we set-up the equation. since it's said in the problem that their sum is 99,
x + (x + 1) = 99
then we solve for x:
2x + 1 = 99
2x = 99 - 1
2x = 98
(2x)/2 = 98/2
x = 49
x+1 = 50

for the second problem, we do the same. in this case, there are three unknowns:
let x = first number
let x+1 = second number
let x+2 = third number
then set-up equation:
x + (x + 1) + (x + 2) = 99
and solve for x,
3x + 3 = 99
3x = 99 - 3
3x = 96
(3x)/3 = 96/3
x = 32
x+1 = 33
x+2 = 34

hope this helps~ :)

Consecutive numbers are numbers that follow each other in sequence, with a difference of 1 between them.

To solve the first problem, let's assume the two consecutive whole numbers are x and x+1. We are given that the sum of these two numbers is 99. Therefore, we can set up the equation:

x + (x+1) = 99

Simplifying the equation, we combine like terms:

2x + 1 = 99

Now, we isolate the variable x by subtracting 1 from both sides of the equation:

2x = 99 - 1
2x = 98

Next, we divide both sides of the equation by 2:

x = 98/2
x = 49

Therefore, the two consecutive whole numbers that add up to 99 are 49 and 50.

To solve the second problem, let's assume the three consecutive whole numbers are x-1, x, and x+1. We are given that the sum of these three numbers is 99. Therefore, we can set up the equation:

(x-1) + x + (x+1) = 99

Simplifying the equation, we combine like terms:

3x = 99

Next, we divide both sides of the equation by 3:

x = 99/3
x = 33

Therefore, the three consecutive whole numbers that add up to 99 are 32, 33, and 34.

To check the correctness of our solutions, we can plug them back into the original equations and verify if the sums are indeed 99.

Consecutive numbers are numbers that follow each other in order with a difference of 1.

For the first question, we need to find two consecutive numbers whose sum is 99.

Let's call the first number x. The next consecutive number will be x + 1.

The sum of these two numbers is x + (x + 1) = 99.

Simplifying, we get 2x + 1 = 99.

Subtracting 1 from both sides, we have 2x = 98.

Dividing both sides by 2, we get x = 49.

So the first consecutive number is 49, and the second consecutive number is 49 + 1 = 50.

Therefore, the two consecutive numbers that sum up to 99 are 49 and 50.

For the second question, we need to find three consecutive numbers whose sum is 99.

Let's call the first number x. The next two consecutive numbers will be x + 1 and x + 2.

The sum of these three numbers is x + (x + 1) + (x + 2) = 99.

Simplifying, we get 3x + 3 = 99.

Subtracting 3 from both sides, we have 3x = 96.

Dividing both sides by 3, we get x = 32.

So the first consecutive number is 32, and the next two consecutive numbers are 33 and 34.

Therefore, the three consecutive numbers that sum up to 99 are 32, 33, and 34.