CAT 2020 Exam Shift 2 Solved Paper

Question : 67 of 76

Marks: +1, -0

x

and

y

are non-negative integers such that

x+9=z, y+1=z

and $x+y

Solution:

Given

x+9=z=y+1

and $x+y $⇒(z-9)+(z-1)

⇒ z<15

Hence the maximum value of

z=14, \max

x=5

and

\max

y=13

Required answer,

2 x+y=2 × 5+13=23

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