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)

Answer 1

Let's let x be Tony's current age.

Andrea is 6 years younger than Tony, so Andrea's current age is x - 6.

In two years, Tony will be x + 2 years old.

In two years, Andrea will be (x - 6) + 2 = x - 4 years old.

Since Tony will be three times as old as Andrea in two years, we can write the equation: x + 2 = 3(x - 4).

Expanding the equation gives us: x + 2 = 3x - 12.

Rearranging the equation gives us: 2x = 14.

Dividing both sides by 2 gives us: x = 7.

Therefore, the linear equation that can be used to find Andrea's and Tony's current ages is: x = 7.