Question 748241
Let x represent Alicia's age now.

Adam's age would be x-15

In 6 years, Alicia will be x+6 and Adam will be x-15+6 or x-9.

At that time, Alicia will be twice as old as Adam.

Thus, 2 times Adam's age should be equal to Alicia's age:

{{{2(x-9)=x+6}}}

Distribute:

{{{2x-18=x+6}}}

Subtract x from both sides:

{{{x-18=6}}}

Add 18 to both sides:

{{{x=24}}}

Adam's age was represented by x-15, so plug in 24 for x:

{{{24-15}}}

{{{9}}}

Adam is 9 years old.