Question

If three coprime numbers $x,y,z$ are such that the product of $x$ and $y$ is $551$ and $y$ and $z$ is $1073,$ then $x+y+z$ can be

• A. $49$
• B. $85$
• C. $104$
• D. $75$

Answer 1

The correct option is B $85$

$551=19\times 29=x\times y$
$1073=29\times 37=y\times z$
Since, $y$ is common, so $y$ is $29.$
$\Rightarrow x=19,z=37$
So, $x+y+z=19+29+37=85$