SOLUTION: Thomas has a younger brother named Miguel. Thomas is 5 years older than Miguel. If Thomas's age is decreased by three years, it is equivalent to double Miguel's age. a. Write a

Algebra ->  Linear-equations -> SOLUTION: Thomas has a younger brother named Miguel. Thomas is 5 years older than Miguel. If Thomas's age is decreased by three years, it is equivalent to double Miguel's age. a. Write a      Log On


   

Question 1004521: Thomas has a younger brother named Miguel. Thomas is 5 years older than Miguel. If Thomas's age is decreased by three years, it is equivalent to double Miguel's age.
a. Write a system of equations to represent the age of Thomas. Let t represent Thomas's age and m represent Miguel's age.
b. Solve the system to determine the ages of Thomas and Miguel.
c. Explain why your answer is reasonable.
Answer by josgarithmetic(39630) About Me  (Show Source):
You can put this solution on YOUR website!
This is the exact translation from description into equations:
system%28t=m%2B5%2Ct-3=2m%29


%28m%2B5%29-3=2m
m%2B5-3=2m
m%2B2=2m
highlight%282=m%29


t=m%2B5
t=2%2B5
highlight%28t=7%29