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These sample problems below for Age Problems were generated by the MathScore.com engine.

Sample Problems For Age Problems


Complexity=5, Mode=Type A

Solve the following age problems.
1.   Peter is 58 years old.
The sum of the ages of Peter and Steven is 69.
How old is Steven?
2.   Cindy is 20 years old.
The sum of the ages of Cindy and Jose is 74.
How old is Jose?

Complexity=5, Mode=Type B

Solve the following age problems.
1.   4 years from now Mary will be 14 years old.
The current sum of the ages of Mary and Steven is 52.
How old is Steven right now?
2.   8 years from now Peter will be 16 years old.
The current sum of the ages of Peter and Tiffany is 29.
How old is Tiffany right now?

Complexity=5, Mode=Type C

Solve the following age problems.
1.   3 years from now Paul will be 63 years old.
In 12 years, the sum of the ages of Paul and Jennifer will be 99.
How old is Jennifer right now?
2.   6 years from now Jennifer will be 50 years old.
In 5 years, the sum of the ages of Jennifer and Maria will be 96.
How old is Maria right now?

Complexity=5, Mode=Type D

Solve the following age problems.
1.   12 years from now Maria will be twice as old as Steven.
The current sum of the ages of Maria and Steven is 36.
How old is Steven right now?
2.   16 years from now Peter will be twice as old as Paul.
The current sum of the ages of Peter and Paul is 4.
How old is Paul right now?

Complexity=5

Solve the following age problems.
1.   5 years from now Paul will be 65 years old.
In 14 years, the sum of the ages of Paul and Mary will be 137.
How old is Mary right now?
2.   Paul is 27 years old.
The sum of the ages of Paul and Mike is 79.
How old is Mike?

Answers


Complexity=5, Mode=Type A

Solve the following age problems.
#ProblemCorrect AnswerYour Answer
1Peter is 58 years old.
The sum of the ages of Peter and Steven is 69.
How old is Steven?
Solution
Peter = 58
Peter + Steven = 69
58 + Steven = 69
Steven = 69 - 58 = 11
#ProblemCorrect AnswerYour Answer
2Cindy is 20 years old.
The sum of the ages of Cindy and Jose is 74.
How old is Jose?
Solution
Cindy = 20
Cindy + Jose = 74
20 + Jose = 74
Jose = 74 - 20 = 54

Complexity=5, Mode=Type B

Solve the following age problems.
#ProblemCorrect AnswerYour Answer
14 years from now Mary will be 14 years old.
The current sum of the ages of Mary and Steven is 52.
How old is Steven right now?
Solution
Mary + 4 = 14
Mary = 14 - 4 = 10
Mary + Steven = 52
10 + Steven = 52
Steven = 52 - 10 = 42
#ProblemCorrect AnswerYour Answer
28 years from now Peter will be 16 years old.
The current sum of the ages of Peter and Tiffany is 29.
How old is Tiffany right now?
Solution
Peter + 8 = 16
Peter = 16 - 8 = 8
Peter + Tiffany = 29
8 + Tiffany = 29
Tiffany = 29 - 8 = 21

Complexity=5, Mode=Type C

Solve the following age problems.
#ProblemCorrect AnswerYour Answer
13 years from now Paul will be 63 years old.
In 12 years, the sum of the ages of Paul and Jennifer will be 99.
How old is Jennifer right now?
Solution
Paul + 3 = 63
Paul = 63 - 3 = 60
(Paul + 12) + (Jennifer + 12) = 99
(60 + 12) + (Jennifer + 12) = 99
Jennifer + 84 = 99
Jennifer = 99 - 84 = 15
#ProblemCorrect AnswerYour Answer
26 years from now Jennifer will be 50 years old.
In 5 years, the sum of the ages of Jennifer and Maria will be 96.
How old is Maria right now?
Solution
Jennifer + 6 = 50
Jennifer = 50 - 6 = 44
(Jennifer + 5) + (Maria + 5) = 96
(44 + 5) + (Maria + 5) = 96
Maria + 54 = 96
Maria = 96 - 54 = 42

Complexity=5, Mode=Type D

Solve the following age problems.
#ProblemCorrect AnswerYour Answer
112 years from now Maria will be twice as old as Steven.
The current sum of the ages of Maria and Steven is 36.
How old is Steven right now?
Solution
Maria + 12 = 2 × (Steven + 12)
Maria + Steven = 36
Maria = 36 - Steven
36 - Steven + 12 = 2 × (Steven + 12)
48 - Steven = 2 × Steven + 24
48 = 3 × Steven + 24
3 × Steven = 48 - 24 = 24
Steven = 8
#ProblemCorrect AnswerYour Answer
216 years from now Peter will be twice as old as Paul.
The current sum of the ages of Peter and Paul is 4.
How old is Paul right now?
Solution
Peter + 16 = 2 × (Paul + 16)
Peter + Paul = 4
Peter = 4 - Paul
4 - Paul + 16 = 2 × (Paul + 16)
20 - Paul = 2 × Paul + 32
20 = 3 × Paul + 32
3 × Paul = 20 - 32 = -12
Paul = -4

Complexity=5

Solve the following age problems.
#ProblemCorrect AnswerYour Answer
15 years from now Paul will be 65 years old.
In 14 years, the sum of the ages of Paul and Mary will be 137.
How old is Mary right now?
Solution
Paul + 5 = 65
Paul = 65 - 5 = 60
(Paul + 14) + (Mary + 14) = 137
(60 + 14) + (Mary + 14) = 137
Mary + 88 = 137
Mary = 137 - 88 = 49
#ProblemCorrect AnswerYour Answer
2Paul is 27 years old.
The sum of the ages of Paul and Mike is 79.
How old is Mike?
Solution
Paul = 27
Paul + Mike = 79
27 + Mike = 79
Mike = 79 - 27 = 52

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