Question 1151113

let the father's age be {{{x}}} and the son's age {{{y}}}

father's age in {{{3}}} years will be {{{x+3}}}
the son's age {{{4}}} years ago was {{{y-4}}}

if the father's age in {{{3}}} years will be {{{twice}}} the son's age {{{4}}} years ago, we have

{{{x+3=2(y-4)}}}....solve for {{{x}}}

{{{x=2y-8-3}}}

{{{x=2y-11}}}........eq.1


and if the sum of their ages now is {{{106}}}, then 

{{{x+y=106}}}...solve for {{{x}}}

{{{x=106-y}}}.........eq.2


from eq.1 and eq.2 we have

{{{2y-11=106-y}}}...solve for {{{y}}}

{{{2y+y=106+11}}}

{{{3y=117}}}

{{{y=39}}}



{{{x=2*39-11}}}........eq.1

{{{x=67}}}



 the father is {{{67}}} years old now
 the son is {{{39}}} years old now