The sum of 5 consecutive integers is 1,000. What is the value of the greatest of these integers?
I don't know if I should just start randomly plugging in numbers.
<<I don't know if I should just start randomly plugging in numbers>>
unfortunately, lots of folks do math that way, lol
let the first no. be x
then the next 4 consecutive numbers would be x+1, x+2, x+3, and x+4
so x + x+1 + x+2 + x+3 + x+4 = 1000
5x + 10 = 1000
5x = 990
x = 198
the no's are 198, 199, 200, 201, and 202
are they consecutive?
do they add up to 1000 ?
1000/5 = 200
That should get you started.
Yes they do. Thank you.
To find the value of the greatest of these integers, we can set up an equation and solve it algebraically.
Let's assume that the first consecutive integer is x. Since we are considering 5 consecutive integers, the second, third, fourth, and fifth integers would be x+1, x+2, x+3, and x+4, respectively.
According to the problem, their sum is 1,000, which we can represent as an equation:
x + (x+1) + (x+2) + (x+3) + (x+4) = 1,000
Now, we can simplify this equation and solve for x:
5x + 10 = 1,000
Subtract 10 from both sides:
5x = 990
Divide both sides by 5:
x = 198
So, the first consecutive integer is 198. Since we are looking for the greatest of these integers, we need to find x+4:
198 + 4 = 202
Therefore, the greatest of these integers is 202.