Answer:
288
Explanation:
Let x represent the smaller number then the larger number would be 120%x
We can use this to set up an equation:
![x+120\%x=528](https://img.qammunity.org/2023/formulas/mathematics/high-school/hja645eqlkx6fw0assa9ds6fquprwdiugi.png)
Convert 120% to a fraction (any percentage is just that number over 100):
![x+(120)/(100)x=528](https://img.qammunity.org/2023/formulas/mathematics/high-school/rzc8e56camhzhfxlpdipk8od930ency8ds.png)
Simplify the fraction:
![x+(6)/(5)x=528](https://img.qammunity.org/2023/formulas/mathematics/high-school/axlnxv5j6e9jhgp5tjb561wiunmqi4t42t.png)
Add like terms:
![(5)/(5)x+(6)/(5)x=528\\(11)/(5)x=528](https://img.qammunity.org/2023/formulas/mathematics/high-school/za72fvqbro87fajhptdrw1tspdnr0fi9sp.png)
Multiply both sides by 5:
![11x=2640](https://img.qammunity.org/2023/formulas/mathematics/high-school/kd62q0y6wlhlpk0h35bzknvyws80cdaaey.png)
Divide both sides by 11
![x=240](https://img.qammunity.org/2023/formulas/mathematics/high-school/3yx2agektp5nk6h08briqavwjz18w4ehwx.png)
Therefore...
![120\%*240=(6)/(5)(240)=(1440)/(5)=288](https://img.qammunity.org/2023/formulas/mathematics/high-school/etz9i7s0bdfgeveadyhe5wlynm8xt68rg2.png)
The larger number is 288