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)
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GPT-4o mini
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 \( X + (X + 2) \).
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 \( X + (X + 2) \).
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