Question 906629

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

given:
Jim is {{{7}}} years older than Janice:=> {{{x=y+7}}}...eq.1


the sum of their ages are {{{41 }}}:=> {{{x+y=41}}}...eq.2

start with {{{x+y=41}}} ...eq.2 and substitute {{{x}}} from eq.1

{{{(y+7)+y=41}}} ...solve for {{{y}}}

{{{2y+7=41}}}

{{{2y=41-7}}}

{{{2y=34}}}

{{{y=34/2}}}

{{{y=17}}} ........Janice

now find {{{x}}}

{{{x=y+7}}}...eq.1

{{{x=17+7}}}

{{{x=24}}}..............Jim