According to a survey, a few years ago, 51% of the American respondents believed the Social Security system would be secure in 20 years. Of the respondents who were 40 or older, 60% believed the system would be secure in 20 years. Of the people surveyed, 52% were under age 40.

a) If one respondent is selected randomly, and the person selected believes the Social Security system will be secure in 20 years, what is the probability that the person is 40 years old or older?

answer is 56.47%

b) What is the probability that the person is younger than 40 and believes that the Social Security system will be secure in 20 years?

answer is 22.20%

I've tried so hard and I have no idea how they got these answers