Question 155655
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(NOTE)}}}: We all know that to know your {{{AGE}}}, you subtract the base year (in this case it's {{{highlight(1951)}}}) 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+2}}} -----> 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:
{{{(1951-HF)+(1951-CG)+(1951-BH)=144years}}} ---------------> WORKING EQN{{{1951-Y+1951-Y-2+1951-Y-2+2=144}}}
{{{5853-3Y-cross(2)-2+cross(2)=144}}}
{{{5853-144+2=3Y}}}
{{{5711=3Y}}} ----> {{{5711/3=cross(3)Y/cross(3)}}}
{{{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+2=1903.66667}}} ===> 1903 & 8 months (August) ---> the date & year BH was born.
In doubt? See {{{highlight(NOTE)}}} 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