 # Kirito is thinking of a number, if you

Kirito is thinking of a number, if you add 7, multiply it by 6, subtract 18, and divide 2 theresult is 57. What is Kirito's number.
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$r=\left\{15,24,45\right\}$

PREMISES

$r+7\ast 6–18/2=57$

ASSUMPTIONS

Let r = the number

So, there are a few choices and unique solutions:

I. $\left[\left(r+7\right)6–18\right]/2=57$

$2\left[\left(r+7\right)6-18\right]/2=57\ast 2$

$\left(r+7\right)6–18=114$

$6r+42–18=114$

$6r+\left(42–18–114\right)=114–114$

$6r+\left(24–114\right)=0$

$6r-90=0$

$6r-\left(90–90\right)=90$

$6r/6=90/6$

$r=15$ Or,

II. $r+7\ast 6–18/2=57$

$r+42–9=57$

$r+\left(42–42\right)-\left(9–9\right)=57–42+9$

$r+0–0=15+9$

$r=24$ Or,

III. $r+\left(7\ast 6–18\right)/2=57$

$r+\left(42–18\right)/2=57$

$r+24/2=57$

$r+12=57$

$r+\left(12–12\right)=57–12$

$r+0=45$

$r=45$