Question:
Solution:
According to the statement of the problem, we get the following scheme:
According to this scheme, we get the following equation:
![YZ\text{ = YA + AZ}](https://img.qammunity.org/2023/formulas/mathematics/high-school/jppfzkks8gnrmsebism62zslpbyrwdvvrt.png)
this is equivalent to:
![12x+48=14x+10x](https://img.qammunity.org/2023/formulas/mathematics/high-school/pfkakg87m2h0pucbppiusrmdr02yn9fjnn.png)
Putting Like Terms Together, we get:
![14x+10x-12x=48](https://img.qammunity.org/2023/formulas/mathematics/high-school/xsuy9jcda7xhyoz5vomkl8ddm5hleks4sr.png)
this is equivalent to:
![12x=48](https://img.qammunity.org/2023/formulas/mathematics/college/xk0zo151r1rdpuhsrsf5lshhd6xe9exl34.png)
solving for x, we obtain:
![x=(48)/(12)=4](https://img.qammunity.org/2023/formulas/mathematics/high-school/42hxasqc4p8qemqstseiawer6bs7krprcs.png)
So that, we can conclude that the correct answer is:
![4](https://img.qammunity.org/2023/formulas/mathematics/college/c3e9sa9no4fqk28usmnz33xreg4jtzmvze.png)