Merideth's brother, Miles, is 3 years younger than twice her age. The sum of their ages is 24. Create an equation to determine their ages. How old are they?

Lets use O to represent Merideth's age and X to represent Miles's age,

So what do we know? we know that miles is 3 years younger than twice merideth's age so 2 (O) = X+3 and we also know that the sum of their ages is 24 O+X=24 using these equations we can input values until we find the values that work so if miles is 15 and meridith is 9 than 2 (9) = 15+3. 18=18

9+15=24 these values work for both equations so merideth is 9 and miles is 15