alex is twice as old as Marty. Gloria is three years older than Marty. Alex is 4 years older than Gloria. What are their ages?

Question

Its solving systems of equations with 3 variables.

Answer 1

A = 2M     ----->   A - 2M = 0

G = M + 3

A = G + 4    --> -G = - A + 4

 

 

 

G = M + 3

-G = - A + 4

 

add equations

 

0 = M - A + 7     --->   A - M = 7

 

 

A - 2M = 0

A - M - M = 0

7 - M = 0       ----> M = 7

 

A = 2M = 2(7) = 14

 

G = M + 3 = 7 + 3 = 10