Question 829765
{{{a}}}= Amanda's age
{{{a+15}}}= Carol's age (because Carol is 15 years older than Amanda)
{{{2a}}}= Mike's age (because Mike is two times as old as Amanda)
 
The equation to solve is
{{{a+(a+15)+(2a)=35}}}
 
Solving:
{{{a+(a+15)+(2a)=35}}}
{{{a+a+15+2a=35}}}
{{{a+a+2a+15=35}}
{{{4a+15=35}}}
{{{4a=35-15}}}
{{{4a=20}}}
{{{a=20/4}}}
{{{a=5}}} , so
{{{a+15=5+15}}}
{{{a+15=highlight(20)}}}
Carol is {{{highlight(20)}}} years old.