SOLUTION: Sarah's age exceeds Dana's age by 16 years. Four years ago, Sarah was twice as old as Dana was then. Find the present age of each.

Algebra ->  Algebra  -> Linear-equations -> SOLUTION: Sarah's age exceeds Dana's age by 16 years. Four years ago, Sarah was twice as old as Dana was then. Find the present age of each.      Log On

Ad: Algebra Solved!™: algebra software solves algebra homework problems with step-by-step help!
Ad: Algebrator™ solves your algebra problems and provides step-by-step explanations!

   

Question 66773This question is from textbook Algebra 11
: Sarah's age exceeds Dana's age by 16 years. Four years ago, Sarah was twice as old as Dana was then. Find the present age of each.This question is from textbook Algebra 11

Answer by venugopalramana(3286) About Me  (Show Source):
You can put this solution on YOUR website!
Sarah's age (S) exceeds Dana's(D) age by 16 years.
S=D+16...................1
Four years ago,
SARA WAS S-4 YRS
DANA WAS D-4 YRS
Sarah was twice as old as Dana was then.
S-4=2(D-4)
S-4=2D-8............SUBSTITUTING FROM EQN.1
D+16-4=2D-8
2D-D=12+8=20
D=20
Find the present age of each.
DANA IS NOW 20 YRS
SARA IS NOW 20+16=36 YRS