Question 1137272

let mother's age be {{{x}}}

if Rose is {{{28}}} years younger than her mother, Rose is {{{(x-28)}}}

if their total age is {{{112}}}, we have

{{{x+(x-28)=112}}}

{{{x+x-28=112}}}

{{{2x=112+28}}}

{{{2x=140}}}

{{{x=70}}}->mother's age


Rose is {{{(x-28)=70-28=42}}}

so, mother is {{{70}}} and Rose is {{{42}}} years old