Question

Find the maximum value that the expression (a - b)/c attains if a,b and c are distinct integers greater than 100, but less than 200.

Answer 1

a = 199, b = 101, c = 102

Explanation:

a = 199

b = 101

c = 102

-----------

a = 199

b = 102

c = 101

-----------

98/102 > 97/101 - put it in

------------------------

98 x 101/102 x 101 > 97 x 102/101 x 102

Answer 2

Explanation:

We can count how many numbers.

There is 100 numbers.

Let's just sub it in.

For example, a = 120, b = 104, c = 106

Try it until it is all satisfied.