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?

Call x Andrew's age.

Then, Carol is 3 times older => Carol's age is 3x

And, Brad is 2 year older than Andrew => Brad's ages x + 2

In six years, Carol's age will be 3x + 6, Brad's age will be x + 2 + 6 and Andrew's age will be x + 6

Then, the sum of Andrew's and Brad's ages in six years will be:

(x + 6)+ (x + 2 + 6) = 3x + 6

Now, you can solve the equation:

x + 6 + x + 8 = 3x + 6

=> 3x - x - x = 8

=> x = 8.

So, today Carol's age = 3x = 3(8) = 24.

24 years

Lines that intersect at one point