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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
Started 1 month ago by Shashank in
Answer : 23
Explanatory Answer
Acc. to the question:
x + 9 = z & y + 1 = z
Therefore, x + 9 = y + 1
y = x + 8
x + y < z + 5
x + x + 8 < x + 9 + 5
x < 6
Now, 2x + y = 2x + x + 8 = 3x + 8
For this to be maximum, x has to be maximum.
Maximum possible value of x = 5.
Therefore, max possible value of 3x + 8 = 3(5) + 8 = 23
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