An airline does a survey of the weights of adult passengers traveling on its flights. It finds that 5% weigh more than 84.3 kg and 2% weigh less than 57.2 kg.

An airline does a survey of the weights of adult passengers traveling on its flights. It finds that 5% weigh more than 84.3 kg and 2% weigh less than 57.2 kg. Assuming that the weights of adult passengers on its flight are normally distributed, find the mean of the weights.