Word problems with Systems of Equations

Question

Tevin is 34 years younger than Madison. 9 years ago, Madison's age was 3 times Tevin's age. How old is Tevin now?

Answer 1

T = M-34

M-9 = 3(T-9) = 3T -27

M-9 =3T -27

M = 3T -18

M = 3(M-34) - 18

M = 3M - 102 -18

2M = 120

M = 120/2 = 60 years old = Madison's age now

L=60-34 = 26 years old = Tevin's age now

9 years ago they were 51 and 17

3 x 17 = 51