SOLUTION: Leading men. Bob Hope was born 2 years after Clark Gable and 2 years before Henry Fonda. In 1951, after all three of them had their birthdays, the sum of their ages was 144. In w

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: Leading men. Bob Hope was born 2 years after Clark Gable and 2 years before Henry Fonda. In 1951, after all three of them had their birthdays, the sum of their ages was 144. In w      Log On


   

Question 155655: Leading men. Bob Hope was born 2 years after Clark Gable and 2 years before Henry Fonda. In 1951, after all three of them had their birthdays, the sum of their ages was 144. In what years were they born?
Answer by jojo14344(1513) About Me  (Show Source):
You can put this solution on YOUR website!
Of course everyone is welcome to try this problem but see what I got:
Remember: Bob+Hope=BH,Clark+Gable=CG, Henry+Fonda=HF
highlight%28NOTE%29: We all know that to know your AGE, you subtract the base year (in this case it's highlight%281951%29) to the year you were born:
Let Y ----> the year HF was born
so, Y-2 ---> year CG was born, 2 years before HF
Y-2%2B2 -----> year BH was born, 2 years after CG
.
So we subtract the year each person born from 1951 so we can know their ages that sum up to 144 years. Let's see:
%281951-HF%29%2B%281951-CG%29%2B%281951-BH%29=144years ---------------> WORKING EQN1951-Y%2B1951-Y-2%2B1951-Y-2%2B2=144
5853-3Y-cross%282%29-2%2Bcross%282%29=144
5853-144%2B2=3Y
5711=3Y ----> 5711%2F3=cross%283%29Y%2Fcross%283%29
Y=1903.66667===> Y=1903 & 8 months (August)---> the date & year HF born
1903.66667-2=1901.66667 ===> 1901 & 8 months (August) ----> the date & year CG was born
1903.66667-2%2B2=1903.66667 ===> 1903 & 8 months (August) ---> the date & year BH was born.
In doubt? See highlight%28NOTE%29 above, let's see their ages:
HF: 1951-1903.66667=47.3333 ===> 47 years & 4months
CG: 1951-1901.66667=49.3333 ===> 49 years & 4months
BH: 1951-1903.66667=49.3333 ===> 47 years & 4months
Going back to the condition, the SUM of their ages in 1951 is 144:
47yrs & 4months + 49yrs & 4months + 47yrs & 4months =144 years
143 years & 12 months =144 years
144 years = 144 years
thank you,
Jojo