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Terrance is 3.5 years older than Stephanie. Stephanie is 22.5 years old. If the equation [tex]t - 3.5 = 22.5[/tex] models the situation, find the value for [tex]t[/tex], Terrance's age.

[tex]\square[/tex]

Sagot :

GinnyAnsweridn
To find Terrance's age, we need to solve the equation given: [tex]\( t - 3.5 = 22.5 \)[/tex].

Here’s the detailed step-by-step solution:

1. Understand the equation: The equation [tex]\( t - 3.5 = 22.5 \)[/tex] represents Terrance being 3.5 years older than Stephanie, where [tex]\( t \)[/tex] is Terrance's age and 22.5 is Stephanie's age.

2. Isolate the variable [tex]\( t \)[/tex]: To find Terrance's age, we need to isolate [tex]\( t \)[/tex] on one side of the equation.

3. Add 3.5 to both sides: To isolate [tex]\( t \)[/tex], we need to eliminate the [tex]\(-3.5\)[/tex] on the left-hand side. We do this by adding 3.5 to both sides of the equation.
[tex]\[ t - 3.5 + 3.5 = 22.5 + 3.5 \][/tex]

4. Simplify the equation: On the left-hand side, [tex]\(-3.5\)[/tex] and [tex]\(+3.5\)[/tex] cancel each other out, leaving us with:
[tex]\[ t = 22.5 + 3.5 \][/tex]

5. Calculate the result:
[tex]\[ t = 26.0 \][/tex]

Therefore, Terrance is [tex]\( 26.0 \)[/tex] years old.
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