Cole’s age is 3 years less than his sister Tina’s age, t. If Cole is 18, which equation represents this situation, and how old is Tina?

A.
The equation that represents this situation is t − 3 = 18. Tina is 21.
B.
The equation that represents this situation is t + 3 = 18. Tina is 15.
C.
The equation that represents this situation is 3 − t = 18. Tina is 21.
D.
The equation that represents this situation is -3 − t = 18. Tina is 15.

1 answer

Let Cole's age be represented as \( c \) and Tina's age as \( t \). According to the problem, Cole's age is 3 years less than Tina's age, which can be expressed as the equation:

\[ c = t - 3 \]

We know that Cole is 18 years old, so we can substitute \( c \) with 18:

\[ 18 = t - 3 \]

To find Tina's age, we can rearrange the equation:

\[ t = 18 + 3 \] \[ t = 21 \]

Now we can verify our answer with the choices given. The equation \( t - 3 = 18 \) can be rearranged to \( t = 21 \), which matches with our calculation. Thus:

The correct answer is: A. The equation that represents this situation is \( t - 3 = 18 \). Tina is 21.