207. Zaimu is promised a reward in the form of the larger of two parts, which add up to 20, and the product of these parts is 96. How great is the reward?
207. The ordinary solution: Let the larger part be $x$. Then the smaller one is $20-x$. According to the condition, $x(20-x)=96$, or $x^{2}-20 x+96=0 ; x=10 \pm \sqrt{100-96}=10 \pm 2 ; x_{1}=12 ; x_{2}=8$. But Al-Baghdadi's solution is simpler: put one number as $10+x$, then the other is $10-x$. Their product is $100-x^{2}=96$, from which $x^{2}=4$ and $x=2$, therefore, $10+x=12$, $10-x=8$.