Question 1152105

let mr henry's age be {{{x}}} and his son's  age {{{y}}}

if mr henry is {{{2}}} more than {{{5}}} times his sons age, we have

{{{x=5y+2}}}......eq.1
 
if {{{4 }}}years ago mr h was {{{11}}} times his sons age, we have

{{{x-4=11(y-4)}}}.......eq.2

substitute {{{x}}} from eq.1 in eq.2

{{{5y+2-4=11(y-4)}}}.......eq.2

{{{5y-2=11y-44}}}

{{{44-2=11y-5y}}}

{{{42=6y}}}

{{{y=7}}}=> his son's  age now


{{{x=5*7+2}}}......eq.1

{{{x=37}}}=>Mr Henry's age now

then in how many years (let it be {{{t}}}) will Mr Henry be {{{3}}} times his sons age then

{{{x+t=3(y+t)}}}.....plug in current ages

{{{37+t=3(7+t)}}}

{{{37+t=21+3t}}}

{{{37-21=3t-t}}}

{{{16=2t}}}

{{{t=8}}}

in {{{8}}} from now Mr Henry will be {{{3}}} times his sons age 

check it:

{{{x=37}}}=>Mr Henry's age now,in {{{8}}} from now Mr Henry will be {{{45}}}

{{{y=7}}}=> his son's  age now,in {{{8}}} from now his son will be {{{15}}}

{{{45=3*15}}}
{{{45=45}}}