Question

A three-digit number, $XYZ$, is formed of three non-zero digits $X,Y$ and $Z$. If the value of $X$ is twice the value of $Z$ and the value of $Y$ is three times the value of $X$, what is the number $XYZ$?

• A. $261$
• B. $135$
• C. $398$
• D. $546$
• E. $123$

Answer 1

Answer: (A)

$261$

Given that the value of $X$ is twice the value of $Z$ and the value of $Y$ is three times the value of $X$

$\Rightarrow X=2Z,Y=3X=6Z$

The number is $XYZ=100X+10Y+Z100\times 2Z+10\times 6Z+Z=200Z+60Z+z=261Z$

So the three digit number can be $261$ or $522$ or $783$

Therefore option $A$ is correct