SOLUTION: Lucas is 9 years older than three times his son’s age. In 14 years, the age of Lucas will be 6 years more than twice his son’s age. Find their present ages.

Algebra ->  Customizable Word Problem Solvers  -> Age -> SOLUTION: Lucas is 9 years older than three times his son’s age. In 14 years, the age of Lucas will be 6 years more than twice his son’s age. Find their present ages.      Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


   



Question 979009: Lucas is 9 years older than three times his son’s age. In 14 years, the age of Lucas will be 6 years more than twice his son’s age. Find their present ages.
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!

y, Lucas
x, his son

system%28y=9%2B3x%2Cy%2B14=6%2B2%28x%2B14%29%29

system%28y=3x%2B9%2Cy=-14%2B6%2B2x%2B28%29

system%28y=3x%2B9%2Cy=2x%2B20%29, two formulas for y in terms of x...

3x%2B9=2x%2B20

x=20-9

highlight%28x=11%29. The son
Use this to evaluate y.

y=9%2B3x
y=9%2B3%2A11
highlight%28y=42%29, Lucas