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?

Answer 1

Let A be Andrea's current age.

From the given information, we can form two equations:
1) Andrea is 6 years younger than Tony: A = T - 6
2) In two years, Tony will be three times as old as Andrea: T + 2 = 3(A + 2)

To find Andrea's and Tony's current ages, we can solve this system of equations.

Answer 2

A. a+2=3(a−6+2)

B. a=3(a+2)

C. 3(a+2)=a−6+2

D. a+2=3(a+6+2)