Andrea is 6 years younger than Tony. In two years, Tony will be three times as old as Andrea. Let a be Tony’s current age. Which of these linear equations can be used to find Andrea’s and Tony’s current ages?(1 point)
Responses
a - 6 = Andrea's current age
a + 2 = Tony's age in two years
3(a - 6 + 2) = Tony's age in two years, three times Andrea's age in two years
3a - 12 = Tony's age in two years
Let's set up the problem step by step:
1. Let a be Tony's current age.
2. Since Andrea is 6 years younger than Tony, Andrea's current age is (a - 6).
3. In two years, Tony's age will be (a + 2).
4. In two years, Andrea's age will be ((a - 6) + 2).
5. According to the problem, Tony's age in two years will be three times Andrea's age in two years. This can be written as:
(a + 2) = 3 * ((a - 6) + 2)
Therefore, the linear equation that can be used to find Andrea's and Tony's current ages is:
a + 2 = 3 * (a - 4)