Question

If $\overline{x}-Z=3,$ $\overline{x}+Z=45$ and $2\overline{x}+Z=3M$ then find $M$.

• A. $26$
• B. $22$
• C. $24$
• D. $23$

Answer 1

The correct option is D $23$

Given equations are

$\overline{x}-Z=3$ ...... $\left(1\right)$

$\overline{x}+Z=45$ ...... $\left(2\right)$
$3M=2\overline{x}+Z$ ....... $\left(3\right)$

Adding 1 and 2 equations, we get

$2\overline{x}=48$
$\therefore \overline{x}=24$
Now, $\overline{x}+Z=45$
$\therefore Z=45-\overline{x}$ $=45-24=21$
$3M=2\overline{x}+Z$
$=2\left(24\right)+Z$
$=48+21$
$=69$
$\therefore M=23$