Posted by **Crissy XD** on Saturday, April 30, 2011 at 2:47am.

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)

- Mathematics -
**Jai**, Saturday, April 30, 2011 at 3:48am
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~ :)

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