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Jasmine is now half as old as her father. 12 years ago, the father was 3 times as old as jasmine.find their ages.
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F = 2J, (1) ("Jasmine is now half as old as her father")
F - 12 = 3(J-12). (2) ("12 years ago . . .")
From (1), substitute F = 2J into (2) replacing F. You will get the single equation for J:
2J - 12 = 3(J-12) ---> 2J - 12 = 3J - 36 ---> J = 36 - 12 = 24.
Answer. Jasmin is 24 years old now. The father is 2*J = 2*24 = 48 years old now.
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
- Age problem for the day of April, 1
- OVERVIEW of lessons on age problems
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".