Given :-
- Pranav ran 20.3 km more than Branda
![\\ \\](https://img.qammunity.org/2023/formulas/spanish/high-school/3smwgzm5kcwhalsj7lj64e5ajokjvn8r8h.png)
To find :
- No. of kilometers did Brenda run.
![\\ \\](https://img.qammunity.org/2023/formulas/spanish/high-school/3smwgzm5kcwhalsj7lj64e5ajokjvn8r8h.png)
Let :
- No. of kilometers ran by Brenda be x.
![\\ \\](https://img.qammunity.org/2023/formulas/spanish/high-school/3smwgzm5kcwhalsj7lj64e5ajokjvn8r8h.png)
Solution:
![\\ \\](https://img.qammunity.org/2023/formulas/spanish/high-school/3smwgzm5kcwhalsj7lj64e5ajokjvn8r8h.png)
Equation formed:-
![\\ \\](https://img.qammunity.org/2023/formulas/spanish/high-school/3smwgzm5kcwhalsj7lj64e5ajokjvn8r8h.png)
Total distance covered by Pravan = More distance covered by Pravan + distance covered by Brenda.
Therefore:-
![\\ \\](https://img.qammunity.org/2023/formulas/spanish/high-school/3smwgzm5kcwhalsj7lj64e5ajokjvn8r8h.png)
![\leadsto \sf38.6 = 20.3 + x](https://img.qammunity.org/2023/formulas/mathematics/college/vrumuppsj17kiq0cgo31lbe2tj7c24q21n.png)
Write the equation
![\\ \\](https://img.qammunity.org/2023/formulas/spanish/high-school/3smwgzm5kcwhalsj7lj64e5ajokjvn8r8h.png)
![\leadsto \sf38.6 - 20.3 =x](https://img.qammunity.org/2023/formulas/mathematics/college/gh3t4nz7spyfhtw5p2741mnibdcjiop92g.png)
When we transfer 20.3 to left side the positive sign (+) will change into negative sign (–)
![\\ \\](https://img.qammunity.org/2023/formulas/spanish/high-school/3smwgzm5kcwhalsj7lj64e5ajokjvn8r8h.png)
![\leadsto \sf x = 38.6 - 20.3](https://img.qammunity.org/2023/formulas/mathematics/college/8r8e8zs79781e89fe4scvexst2dgnzj28r.png)
Arrange the equation because x is always represented at left side.
![\\ \\](https://img.qammunity.org/2023/formulas/spanish/high-school/3smwgzm5kcwhalsj7lj64e5ajokjvn8r8h.png)
![\leadsto \boxed {\pmb{\sf x = 18.3}}\star](https://img.qammunity.org/2023/formulas/mathematics/college/lzruuhn7tnmgvlsx4cmclbmz1mfrryuc2c.png)
After subtracting 38.6 with 20.3 we will get result as 18.3 .
![\\ \\](https://img.qammunity.org/2023/formulas/spanish/high-school/3smwgzm5kcwhalsj7lj64e5ajokjvn8r8h.png)
![\therefore \red{ \underline{ \pmb{\frak{Distance ~ covered ~by ~Brenda~ is ~equal ~to~18.3~kilometers}}}}](https://img.qammunity.org/2023/formulas/mathematics/college/pr70efpsm26mqprxvbis49yi1t57iw3txp.png)