Question

‘a’ and ‘b’ are two different numbers taken from the numbers 1 – 50. What is the largest value that `(a - b)/(a + b)` can have? What is the largest value that `(a + b)/(a - b)` can have?

Answer 1

Given, a and b are two different numbers between 1 to 50.

Let a = 50 and b = 1

∴ `(a - b)/(a + b) = (50 - 1)/(50 + 1) = 49/51`, which is the largest value.

Similarly, Let a = 50 and b = 49

∴  `(a + b)/(a - b) = (50 + 49)/(50 - 49) = 99/1 = 99`, which is the largest value.