Se divide 512 en dos números, de tal forma que el mayor supere al menor con 54?

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<img src="https://tex.z-dn.net/?f=%5Ctext%7BPero%20el%20n%5C%27umero%20mayor%20supera%20en%7D%5C%20%5Cboldsymbol%7B54%7D%5C%20%5Ctext%7Bal%20menor%2C%20entonces%3A%7D%5C%5C%20%5C%5C229%2B54%3D283%5Cquad%5CLongrightarrow%5Cboxed%7B%5Ctext%7BEl%20n%5C%27umero%20mayor.%7D%5C%20%5Ccheckmark%7D%5C%5C%20%5C%5C%20%5C%5C%5Cmathbb%7BRESPUESTA%3A%7D%5C%20%5Ctext%7BLos%20n%5C%27umeros%20buscados%20son%7D%5C%20%5Cboldsymbol%7B229%7D%5C%20%5Ctext%7By%7D%5C%20%5Cboldsymbol%7B283%7D.%5C%5C%20%5C%5C%5Ctextbf%7BCOMPROBACI%5C%27ON%3A%7D%5C%5C%5Ccdot%5Ctext%7BPara%20verificar%20que%20las%7D%5C%20%5Ctextbf%7Bproporciones%7D%5C%20%5Ctext%7Bson%20correctas%2C%20sumamos%20los%20valores%7D%5C%5C%5Ctext%7By%20debemos%20obtener%7D%5C%20%5Cboldsymbol%7B512%7D%2C%5Ctext%7Bluego%20comprobamos%3A%7D%5C%5C229%2B283%3D512%5C%5C512%3D512%5C%20%5Ccheckmark" /><img src="https://tex.z-dn.net/?f=%5Ctextbf%7BMUCHA%20SUERTE...%21%21%7D" />.