SOLUTION: tony is 21 years older than his sister. in 10 years he will be twice as old as his sister. how old is each of them

Algebra ->  Customizable Word Problem Solvers  -> Age -> SOLUTION: tony is 21 years older than his sister. in 10 years he will be twice as old as his sister. how old is each of them       Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


   



Question 764374: tony is 21 years older than his sister. in 10 years he will be twice as old as his sister. how old is each of them
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
tony is 21 years older than his sister. in 10 years he will be twice as old as his sister. how old is each of them
-----
Equations:
t = s + 21
t+10 = 2(s+10)
-----
Substitute for "t" and solve for "s":
s+21+10 = 2s+20
s + 31 = 2s + 20
s = 11 (sister's age now)
---
Solve for "t":
t = s + 21
t = 32 (tony's age now)
===================
Cheers,
Stan H.
===============