cat 2020 Question 12

Question

If x and y are non-negative integers such that x + 9 = z, y + 1 = z and x + y < z + 5, then the maximum possible value of 2x + y equals

Accepted Answer

We can write x=z-9 and y=z-1 Now we have x+y< z+5

Substituting we get z-9+z-1

Hence the maximum possible value of z is 14

Maximum value of "x" is 5 and maximum value of "y" is 13

Now 2x+y = 10+13=23

Question 12.