the sum of five different integers is 100. If the smallest of these integers is 10, what is the largest possible value of one of the other four integers?

Question

anonymous · Answer

$$\large a + b + c + d + e = 100$$$$\large a < b < c < d < e $$$$\large a = 10$$

anonymous · Answer

Obviously, $e$ will have the largest value.

That means, we must make the other integers as small as we possibly can.

anonymous · Answer

What are the smallest possible values for b, c, and d?

anonymous · Answer

how do you find it if you dont know the values of any except just 10?

anonymous · Answer

We know that all of the numbers are integers and we know that 10 is the smallest integer.  Therefore in order to find the largest integer the next three smallest integers besides ten and then subtract the sum of these numbers from 100.

anonymous · Answer

|dw:1351212154230:dw|

Notice how b, c, and d are as close to a as they can get?

What could b, c, and d be?

anonymous · Answer

is it 13, 12, 11? and that makes the answer 54
thanks i get it now