Question 328628
Let A = Annilee's present age and J = Jessie's present age.
{{{A = (2/3)J}}} "Annilee's present age is two-thirds of Jessie's present age."
{{{(A+12)+(J+12) = 54}}} In 12 years the sum of their ages will be 54 years." Simplify this equation.
{{{A+J+24 = 54}}} Subtract 24 from both sides.
{{{A+J = 30}}} Now substitute the {{{A = (2/3)J}}} in the first equation for the A in this equation.
{{{(2/3)J+J = 30}}} Simplify and solve for J.
{{{(5/3)J = 30}}} Multiply both sides by {{{3/5}}}
{{{J = 18}}} and...
{{{A = (2/3)J}}}
{{{A = (2/3)(18)}}}
{{{A = 12}}}
Annilee's present age is 12 and Jessie's present age is 18.