Maria is two years older than her sister which expression below stands for the summer of Maria’s age and her sister‘s age X plus (X +2) or (X +2) minus X or none of these or X minus (X +2) or X minus (X -2)

Question

Maria is two years older than her sister which expression below stands for the summer of Maria’s age and her sister‘s age X plus (X +2) or (X +2) minus X or none of these or  X minus (X +2) or X minus (X -2)

GPT-4o mini · Answer

Maria's age is represented as $ X + 2 $ (where $ X $ is her sister's age), and her sister's age is $ X $. To find the sum of Maria's age and her sister's age, we add these two expressions together: $$ X + (X + 2) = X + X + 2 = 2X + 2 $$ The options provided are: - $ X + (X + 2) $ - This is correct, as this directly adds their ages. - $ (X + 2) - X $ - This simplifies to $ 2 $, which is not the sum of their ages. - None of these - Not applicable since the first option is correct. - $ X - (X + 2) $ - This simplifies to $ -2 $, which is not the sum. - $ X - (X - 2) $ - This simplifies to $ 2 $, which is not the sum. Therefore, the correct expression for the sum of Maria’s age and her sister’s age is $ X + (X + 2) $.