Question 1151189


let Jim's age  be {{{x}}} and John's age {{{y}}}

If Jim is {{{6}}} years older than John, then 

{{{x=y+6}}}.......eq.1

In {{{10 }}}years, Jim's age will be {{{20}}} more than {{{(1/2)}}} of John's age. 

{{{x+10=(1/2)(y+10)+20}}}.......solve for {{{x}}}

{{{x+10=y/2+5+20}}}

{{{x=y/2+25-10}}}

{{{x=y/2+15}}}........eq.2

from eq.1 and eq.2 we have

{{{y+6=y/2+15}}}.....solve for {{{y}}}

{{{y-y/2=15-6}}}

{{{y/2=9}}}

{{{y=18}}}

then,

{{{x=18+6}}}.......eq.1

{{{x=24}}}


answer:  Jim is {{{24}}} and John is {{{18}}} years old now