Question 500741
Let K = Kay's age and M = Max's age.
{{{highlight(K)+M = 25}}}  "...the sum of their ages (is) 25."
{{{highlight(K = 2M-2)}}}  "Kay is two years less than twice the age of Max." Substutute this into the first equation.
{{{highlight((2M-2))+M = 25}}} Simplify and solve for M.
{{{3M-2 = 25}}} Add 2 to both sides.
{{{3M = 27}}} Divide both sides by 3.
{{{M = 9}}}
Max is 9 years old.