Question

Carol is three times older than Andrew. Brad is two years older than Andrew. In six years, the sum of Andrew's and Brad's ages will be the same as Carol's age. How old is Carol?

• A. $24$ years old
• B. $27$ years old
• C. $30$ years old
• D. $36$ years old
• E. $42$ years old

Answer 1

The correct option is A $24$ years old

Let Andrew's age be $a$
Given, Carol's age $=3a$
Brad's age $=2+a$
After six years, Andrew's age $=a+6$
Brad's age $=2+a+6=a+8$
Carol's age $=3a+6$
Given, $(a+6)+a+8=3a+6$
$\Rightarrow 2a+14=3a+6$
$\Rightarrow a=8$
So, Carol's age $=3\times 8=24$ years old.