Question

Teresa’s age is 5 years more than twice Ben’s age.

If Ben is x years old, the expression gives the sum of Ben’s and Teresa’s ages.
If Ben is 7 years old, the sum of Ben’s and Teresa’s ages is years.

Answer 1

The sum of Ben's and Teresa's ages when Ben is 7 years old is 26 years, as Teresa's age is calculated as twice Ben's age plus 5 years.

Step-by-step explanation:

The student is asking for an expression that represents the sum of Ben's age and Teresa's age given Ben's age as a variable x. Since Teresa's age is 5 years more than twice Ben's age, we can represent Teresa's age as 2x + 5. Therefore, to find the sum of both their ages, we would add Ben's age and Teresa's age together: x + (2x + 5).

When solving for Ben being 7 years old, we substitute 7 for x in the expression x + (2x + 5) to get 7 + (2(7) + 5), which equals 7 + 14 + 5. This simplifies to 26. So, if Ben is 7 years old, the sum of Ben's and Teresa's ages is 26 years.

Answer 2

The first answer is 2x + 5

The second answer is 19