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
[This Question was asked as TITA]

• A. 18
• B. 21
• C. 23
• D. 28

Answer 1

Answer: (C)

23

Answer 2

Given that,
$x+9=z=y+1$ and $x+y<z+5$
$⇒ (z-9)+(z-1)<z+5$
$⇒ z<15$
Hence the maximum value of $z=14$, max of $x=5$ and max of $y=13$
Required answer, $2x+y=2×5+13=23$

So, the correct option is (C): $23$