Solving Word Problems With Equations Of One Degree And One Unknown Worksheet With Answers Page 3
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20AGE PROBLEMS
EXAMPLES
1. Gus is ten years older than his brother, and six years from now he will be twice his
brother’s age then. How old is Gus now?
Solution:
Read the problem carefully.
!
Recognize that you are dealing with age problem.
!
The chart for age problems looks like this:
!
Now
Then
Name
Name
For this particular problem it reads:
!
Now
6 Years From Now
Gus
His Brother
Go back and reread the problem and determine what you know and what you must
!
find.
You are asked to find Gus’ age now. You know less about his brother’s age
!
now (since Gus is 10 years older than his brother is now). “Let his brother’s
present age be X.”. Express Gus’ age in terms of X: “Let Gus’ present age be
X + 10.” We use addition sign because Gus is 10 years older than his brother
is.
Fill in the chart with expressions that represent Gus and his brother’s age now
!
and 6 years from now.
Now
6 Years From Now
X + 10
Gus
X+ 10 + 6
His brother’s
X
X + 6
age
Putting “X” in a specific place on the chart means you don’t have to write a
!
sentence that starts: “Let X be...”
Using the 6-years-from-now- idea fills in the second column of the chart. To
!
find someone’s age six years from now you would add 6 to their present age.
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