Answer:
288
Step-by-step explanation:
Let x represent the smaller number then the larger number would be 120%x
We can use this to set up an equation:
[tex]x+120\%x=528[/tex]
Convert 120% to a fraction (any percentage is just that number over 100):
[tex]x+\frac{120}{100}x=528[/tex]
Simplify the fraction:
[tex]x+\frac{6}{5}x=528[/tex]
Add like terms:
[tex]\frac{5}{5}x+\frac{6}{5}x=528\\\frac{11}{5}x=528[/tex]
Multiply both sides by 5:
[tex]11x=2640[/tex]
Divide both sides by 11
[tex]x=240[/tex]
Therefore...
[tex]120\%*240=\frac{6}{5}(240)=\frac{1440}{5}=288[/tex]
The larger number is 288
