Question 1131176

let Elizabeth's age be {{{E}}} and  Catherine's age be {{{C}}}

if Elizabeth is twice as old as Catherine, we have

{{{E=2C}}}.........eq.1

 seven years ago:

{{{E-7}}}.....Elizabeth's age

{{{C-7}}}......Catherine's age


 If seven years ago the sum of their ages was {{{82}}}, we have

{{{(E-7)+(C-7)=82}}}

{{{E+C-14=82}}}

{{{E+C=82+14}}}..-> substitute {{{E}}} from eq.1

{{{2C+C=96}}}

{{{3C=96}}}

{{{C=96/3}}}

{{{C=32}}}

find {{{E}}}

{{{E=2C}}}.........eq.1

{{{E=2*32}}}

{{{E=64}}}

how old are they now: Elizabeth is {{{64}}} and Catherine is {{{32}}}