Question

If p,q,r and s are four different positive integers selected from 1 to 200, then find the highest possible value of [(p+q)+(r+s)] divided by [(p+q)+(r-s)]

Answer 1

((p+q)+(r+s))/(p+q+r-s)
=>(p+q+r-s+2s)/(p+q+r-s)
=>1+2s/(p+q+r-s)
The only way to get maximum value for this is by having s=200
And p+q+r-s=1
Therefore the ratio will be 1+400/1=401