Hi Aisha, here is the answer to your question.
Let us denote the number of people in the working age population by the alphabet X.
We know that X = # of people in the labor force + # of people not in the labor force
The labor force participation rate 62.5%, So 62.5% of the working age population is in the labor force. This implies that 100% - 62.5% = 37.5% of the working age population is not in the labor force. Thus 37.5% of X is not in the labor force. We are, however, given that the number of people not in the labor force is 63.5 million.
Thus, 37.5% of X = 63.5 million. Or, X = (63.5 million)/0.375 = 169.3 million.
Thus, the number of people in the working age population is 169.3 million.
Labor force is 62.5% of the working age population.
So Labor Force = 62.5% of 169.3 million = 105.8 million.
The unemployment rate is 6%.
So, the number of people unemployed = 6% of the labor force = 6% of 105.8 = 6.3 million.
The number of people employed = Labor Force - Number of Unemployed = 105.8 million - 6.3 million = 99.5 million.
Working age Population = 169.3 million.
Labor Force = 105.8 million.
# of employed = 99.5 million
# of unemployed = 6.3 million