SOLUTION: Find four consecutive integers so that if the first is increased by 2, the second decreased by 2, the third multiplied by 2 and the fourth divided by 2, then the sum of the four re

Question 357188: Find four consecutive integers so that if the first is increased by 2, the second decreased by 2, the third multiplied by 2 and the fourth divided by 2, then the sum of the four resulting numbers is 200.
Found 2 solutions by stanbon, neatmath:
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
Find four consecutive integers so that if the first is increased by 2, the second decreased by 2, the third multiplied by 2 and the fourth divided by 2, then the sum of the four resulting numbers is 200.
------
1st: x-1
2nd: x
3rd: x+1
4th: x+2
-------------------------
Equation:
x-1+2 + x-2 + 2(x+1) +(x+2)/2 = 200
----
x +1 + x - 2 + 2x+2 + (x+2)/2 = 200
4x +1 + (x+2)/2 = 200
8x+2 + x+2 = 400
9x + 4 = 400
9x = 396
x = 44
----
1st: 39
2nd: 40
3rd: 41
4th: 42
===============
Cheers,
Stan H.
Answer by neatmath(302) (Show Source): You can put this solution on YOUR website!

We know that four unknown consecutive integers would be in the form:

So, we then use this format to solve the problem, given:

Thus, the four consecutive integers we are looking for are:

43, 44, 45, and 46

I hope this helps!

RELATED QUESTIONS
find four consecutive integers such that if the sum of the first and third is multiplied... (answered by malglu)
1.one number is 11 more than another number. find the two numbers if three times the... (answered by MathLover1)
find three consecutive even integers such that four times the first decreased by the... (answered by TimothyLamb)
Find three consecutive integers such that twice the second decreased by four times the... (answered by ewatrrr)
1.find two consecutive odd integers if the larger is four less than one third the... (answered by josgarithmetic)
Good evening! I have two questions today: 1. Find three consecutive integers such that (answered by addingup)
find three consecutive positive integers such that the square of the first increased by... (answered by TimothyLamb)
what are 2 consecutive integers such that twice the second increased by first is... (answered by scott8148)
The sum of the second, third consecutive integers decreased by the first is 20. Find the... (answered by richwmiller)