SOLUTION: The sum of two consecutive number is 4 less than the larger number. Find the numbers

Question 665668: The sum of two consecutive number is 4 less than the larger number. Find the numbers

Found 2 solutions by DrBeeee, ReadingBoosters:
Answer by DrBeeee(684) (Show Source): You can put this solution on YOUR website!
Two consecutive numbers are represented by n and n+1.
Your problem statement says that their sum is 4 less that the larger or
(1) n + (n+1) = (n+1) - 4 or
(2) 2n + 1 = n - 3 or
(3) n = -4, then we have
(4) n+1 = -4+1 or
(5) n+1 = -3
Let's check this with (1)
Is (-4 + (-4+1) = (-4+1)-4)?
Is (-4-3 = -3-4)?
Is (-7 = -7)? Yes
Answer: The consecutive numbers are -4 and -3.
Answer by ReadingBoosters(3246) (Show Source): You can put this solution on YOUR website!
Establish the variables
x : one number
x+1 : next number
...
Given expression
x + x+1 = x+1 - 4
...
Combine like terms
2x + 1 = x - 3
...
Group x on one side
2x - x = -3 - 1
x = -4
...
The integers are
...
Check
Sum of two numbers: -4 + -3 = -7
The larger number, which is -3, minus 4: -3 -4 = -7
-7 = -7
.....................
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