SOLUTION: Ethan is 29 years younger than Sarah. 7 years ago, Sarah's age was 2 times Ethan's age. How old is Ethan now?

Algebra.Com
Question 1090158: Ethan is 29 years younger than Sarah. 7 years ago, Sarah's age was 2 times Ethan's age. How old is Ethan now?
Found 2 solutions by josgarithmetic, ikleyn:
Answer by josgarithmetic(39617)   (Show Source): You can put this solution on YOUR website!
E, Ethan
S, Sarah

Simply substitute, simplify,...
Answer by ikleyn(52781)   (Show Source): You can put this solution on YOUR website!
.
The age difference between them is 29 years and remains to be constant forever.


So, 7 years ago Sarah's age was 58 years and Ethan age was 29. 


Thus their present ages are 58 + 7 = 65 for Sarah and 29 + 7 = 36 for Ethan.


This problem is for MENTAL solution.


-----------------
There is a bunch of lessons on age word problems
    - Age problems and their solutions
    - A fresh formulation of a traditional age problem
    - Really intricate age word problem
    - Selected age word problems from the archive
in this site.

Read them and become an expert in solving age problems.

Also, you have this free of charge online textbook in ALGEBRA-I in this site
    - ALGEBRA-I - YOUR ONLINE TEXTBOOK.

The referred lessons are the part of this online textbook under the topic "Age word problems".



RELATED QUESTIONS

Ethan is 23 years older than Evan. If the sum of Ethan and Evan’s age is 43, how old... (answered by ewatrrr,greenestamps)
What is the solution of this problem? Ethan is 23 years older than Evan. If the sum of... (answered by ewatrrr)
I've tried charting this several different ways and I am stuck. Kaitlyn is 5 years older... (answered by scott8148)
Stephen is 29 years younger than Stephanie. 4 years ago, Stephanie's age was 2 times... (answered by Alan3354)
Alec is seven years younger than his older brother Ethan if Alec is 24 years old how... (answered by josgarithmetic)
Age Practice Problem Cesar is 18 years younger than Haley. 7 years ago, Haley's age... (answered by MathLover1)
Matt is 51 years younger than Sarah. 6 years ago, Sarah's age was 4 times Matt's age. How (answered by josmiceli)
John is now 4 times older than his son, Ethan. Six years ago, the sum of their ages was... (answered by jorel1380)
Ethan is older than Jordan. Their ages are consecutive integers. Find Ethan's age if the... (answered by josgarithmetic)