Question 1203878


 Landon's age is {{{L}}}
 Violet's age is {{{V}}}
Hannah's age is {{{H}}}

if the sun of the ages of Landon,Violet, and their mother hann is {{{104}}} years, we have

{{{L+V+H=104}}}.....eq.1

if Landon is {{{3}}} years older than Violet, we have

{{{L=V+3}}}....eq.2

and, if Hannah's age is {{{1}}} more than twice Violet's age, we have

{{{H=2V+1}}}....eq.3


go to

{{{L+V+H=104}}}.....eq.1, substitute {{{L}}} and {{{H}}}

{{{V+3+V+2V+1=104}}}.....solve for {{{V}}}

{{{4V+4=104}}}

{{{4V=104-4}}}

{{{4V=100}}}

{{{V=100/4}}}

{{{V=25}}}

go to

{{{H=2V+1}}}....eq.3, substitute {{{V}}}

{{{H=2*25+1}}}

{{{H= 51}}}

so, Hannah is {{{ 51}}} years old