Question

If Jack's age is three years more than twice Tina's age, which of the following represents the sum of their ages in terms of 't'?

a. 2t - 3
b. 2t + 3
c. 3t - 2
d. 3t + 2

Answer 1

The correct representation of the sum of Jack and Tina's ages in terms of 't' is 3t + 3, where 't' represents Tina's age.

Step-by-step explanation:

To represent the sum of Jack and Tina's ages in terms of 't', which represents Tina's age, we first need to express Jack's age in terms of Tina's age. According to the information given, Jack's age is three years more than twice Tina's age. Therefore, if Tina's age is t, Jack's age can be expressed as 2t + 3. Now, to find the sum of their ages, we add Tina's age (t) and Jack's age (2t + 3) together:

Sum of ages = Tina's age + Jack's age

Sum of ages = t + (2t + 3)

Sum of ages = 3t + 3

Thus, the correct representation of the sum of their ages in terms of 't' is 3t + 3, which corresponds to option (d) listed in the question.