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In recent years, many media reports have claimed that older people are happier than younger people. We question the total validity of this claim. Analyzing data from General Social Surveys 1972-2016, this study reveals that the happiness of older adults depends on their health status and economic status, and it also detects a significant J-shaped relationship between age and happiness over a lifetime. Additionally, we find significant differences in happiness across generations and over time. Our findings challenge the popular claim in the media reports and the U-shaped and inverted U-shaped patterns detected in the academic literature and provide a more complete picture of the relationship between age and happiness.