SOLUTION: My uncle is now 21 years older than me. In 8 years, he will be twice as old as my age. What is our present age?

Algebra ->  Customizable Word Problem Solvers  -> Age -> SOLUTION: My uncle is now 21 years older than me. In 8 years, he will be twice as old as my age. What is our present age?      Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


    

Question 469144: My uncle is now 21 years older than me. In 8 years, he will be twice as old as my age. What is our present age?
Answer by Tatiana_Stebko(1539) About Me  (Show Source):
You can put this solution on YOUR website!
Let x is my present age
Let y is my uncle present age
My uncle is now 21 years older than me, then y-x=21
In 8 years I'll be x%2B8 years old, my uncle will be y%2B8 years old, and he will be twice as old as my age, so y%2B8=2%28x%2B8%29
The system:
system%28y-x=21%2Cy%2B8=2%28x%2B8%29%29
system%28y=21%2Bx%2C21%2Bx%2B8=2x%2B16%29
x-2x=16-21-8
-x=-13
x=13is my present age
y=21%2B13=34 is my uncle present age