Solving Word Problems With Equations Of One Degree And One Unknown Worksheet With Answers Page 4
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20So you can fill in the rest of the chart by doing that (without referring to the
problem).
The chart is completed.
!
We now use the relationship given in the problem for their ages 6 years from
!
now (i.e. “6 years from now Gus will be twice his brother’s age).
Gus’ age 6 years from now equals (=) twice his brother’s age 6 years from
!
now. Now you can solve the equation!
X + 10 + 6 = 2(X + 6)
Solving we get:
X + 16 = 2(X + 6)
X + 16 = 2X + 12
16 - 12 = 2X - X
4 = X
Gus’ brother is four years old. Hence Gus’ age is X + 10 or 4+ 10= 4.
!
!
Gus is 14 years old.
PROBLEM SOLVING
EXAMPLES
1.
Jack is now 14 years older than Bill. If in 10 years Jack will be twice as old as Bill, how old will Jack
be in 5 years
a) 9
b) 19
c) 21
d) 23
e) 33
Answer: D
2.
If Sam were twice as old as he is, he would be 40 years older than Jim. If Jim is 10 years younger than
Sam is, how old is Sam?
a) 20
b) 30
c) 40
d) 50
e) 60
Answer: B.
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