Mathematics
posted by Crissy XD on .
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 setup 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 setup 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~ :)