.
Mental solution:
1. A is 5 years older than R,
and this age difference will be always in place.
2. Four years later A will be twice as old as R.
Hence, four years later A will be twice as old as R AND (according to n.1) A will be 5 years older than R, at the same time.
It means that 4 years later A will be 10 years old, while R will be 5 years old.
3. Hence, their present age is A= 6, R = 1.
Solved.
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".