Re: 3x + 2y + z = 42; where x, y, z are positive integers.
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08 Dec 2024, 09:42
We know $3x+2y+z=42$, where $x,y&z$ are positive integers; we need to compare the value of $x+y+z$ with 18 .
If we put $x=y=z$ in the equation $3x+2y+z=42$, we get $6x=42⇒x=7$, so the value of $x+y+z=21$ which implies column $A$ has higher quantity.
But if we take only $y=z$, we get $3x+3y=42⇒x+y=14$ which is true for many pairs out of which $(x,y)=(10,4)$ is one. So, we get $x+y+z=10+4+4=18$ which implies column $A$ quantity equals column B quantity, so the answer is (C)
Since there are many values possible for the sum of $x,y$ \& z which may or may not be greater than 18 , a unique comparison cannot be made.
Hence the answer is (D).