If x and y are non-negative integers such that $$x + 9 = z$$, $$y + 1 = z$$ and $$x + y

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<z+5 or z<15 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

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

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If x and y are non-negative integers such that x+9=zx + 9 = zx+9=z, y+1=zy + 1 = zy+1=z and x + y &lt; z + 5, then the maximum possible value of 2x+y2x + y2x+y equals

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

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