SOLUTION: Please solve this question Taz is 5 years older than his brother and 1 year younger than his cousin. His uncle is 3 times the age of his cousin and 4 times the age of his brother

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: Please solve this question Taz is 5 years older than his brother and 1 year younger than his cousin. His uncle is 3 times the age of his cousin and 4 times the age of his brother      Log On


   



Question 1098962: Please solve this question
Taz is 5 years older than his brother and 1 year younger than his cousin.
His uncle is 3 times the age of his cousin and 4 times the age of his brother.
How old is Taz?----
Best Regards
Raza
razamuh@hotmail.com

Answer by Edwin McCravy(20060) About Me  (Show Source):
You can put this solution on YOUR website!
Taz is 5 years older than his brother
Translation:

T = B + 5

and (Taz is) 1 year younger than his cousin.
Translation:

T = C - 1

His uncle is 3 times the age of his cousin
Translation:

U = 3C

and (his uncle is) 4 times the age of his brother.
Translation:

U = 4B
Put the 4 equations together and number them:

(1)   T = B + 5
(2)   T = C - 1
(3)   U = 3C
(4)   U = 4B

Solve (1) for B:  

(5)   T - 5 = B

Substitute (T - 5) for B in (4)

(6)   U = 4(T - 5)

Solve (2) for C:

(7)   T + 1 = C

Substitute (T + 1) for C in (3)

(8)   U = 3(T + 1)

Substitute 3(T + 1) for U in (6)

(9)   3(T + 1) = 4(T - 5)

Solve (9) for T

Edwin