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.Com
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)   (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

RELATED QUESTIONS

Please solve this question Taz is 5 years older than his brother and 1 year younger than (answered by ankor@dixie-net.com,MathTherapy)
Please help me solve this problems : 1. On Dave's birthday, his brother Harry is 17 yrs (answered by josmiceli,Edwin McCravy)
harry is x years old, his brother is two times older and his sister is 5 years younger... (answered by ankor@dixie-net.com)
On Dave's birthday, his brother Harry is 17 years younger than 3 times his age. The... (answered by ankor@dixie-net.com)
Kevin is five years older than his younger brother Jack. Their cousin Michael is three... (answered by josmiceli)
Reggie has 2 sisters he is 4 years younger than his older sister who is 3 times older... (answered by josgarithmetic,ikleyn)
Please help with this. Thanks Eric is 2 years younger than his brother Bill and 2... (answered by ankor@dixie-net.com,gonzo)
Rocco is m years old. He his 3 years older than his brother Tony and 7 years younger than (answered by ewatrrr)
The difference in ages between a boy and his younger brother is 6years.the younger... (answered by ankor@dixie-net.com,MathTherapy,josgarithmetic)