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## Age Problems - Sample Math Practice Problems

The math problems below can be generated by MathScore.com, a math practice program for schools and individual families. References to complexity and mode refer to the overall difficulty of the problems as they appear in the main program. In the main program, all problems are automatically graded and the difficulty adapts dynamically based on performance. Answers to these sample questions appear at the bottom of the page. This page does not grade your responses.

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### Complexity=5, Mode=Type A

Solve the following age problems.

 1.   Maria is 12 years old.The sum of the ages of Maria and John is 60. How old is John? 2.   Mary is 11 years old.The sum of the ages of Mary and Tiffany is 17. How old is Tiffany?

### Complexity=5, Mode=Type B

Solve the following age problems.

 1.   5 years from now Maria will be 34 years old. The current sum of the ages of Maria and Mary is 69. How old is Mary right now? 2.   7 years from now Sharon will be 49 years old. The current sum of the ages of Sharon and Peter is 93. How old is Peter right now?

### Complexity=5, Mode=Type C

Solve the following age problems.

 1.   3 years from now Jose will be 38 years old. In 13 years, the sum of the ages of Jose and Pearl will be 83. How old is Pearl right now? 2.   9 years from now Cindy will be 57 years old. In 13 years, the sum of the ages of Cindy and Miguel will be 126. How old is Miguel right now?

### Complexity=5, Mode=Type D

Solve the following age problems.

 1.   8 years from now Cindy will be twice as old as Paul. The current sum of the ages of Cindy and Paul is 77. How old is Paul right now? 2.   14 years from now Miguel will be twice as old as Mary. The current sum of the ages of Miguel and Mary is 50. How old is Mary right now?

### Complexity=5

Solve the following age problems.

 1.   3 years from now Mary will be 52 years old. In 15 years, the sum of the ages of Mary and Cindy will be 95. How old is Cindy right now? 2.   5 years from now Sharon will be twice as old as Tiffany. The current sum of the ages of Sharon and Tiffany is 86. How old is Tiffany right now?

### Complexity=5, Mode=Type A

Solve the following age problems.

1Maria is 12 years old.
The sum of the ages of Maria and John is 60.
How old is John?
Solution
Maria = 12
Maria + John = 60
12 + John = 60
John = 60 - 12 = 48
2Mary is 11 years old.
The sum of the ages of Mary and Tiffany is 17.
How old is Tiffany?
Solution
Mary = 11
Mary + Tiffany = 17
11 + Tiffany = 17
Tiffany = 17 - 11 = 6

### Complexity=5, Mode=Type B

Solve the following age problems.

15 years from now Maria will be 34 years old.
The current sum of the ages of Maria and Mary is 69.
How old is Mary right now?
Solution
Maria + 5 = 34
Maria = 34 - 5 = 29
Maria + Mary = 69
29 + Mary = 69
Mary = 69 - 29 = 40
27 years from now Sharon will be 49 years old.
The current sum of the ages of Sharon and Peter is 93.
How old is Peter right now?
Solution
Sharon + 7 = 49
Sharon = 49 - 7 = 42
Sharon + Peter = 93
42 + Peter = 93
Peter = 93 - 42 = 51

### Complexity=5, Mode=Type C

Solve the following age problems.

13 years from now Jose will be 38 years old.
In 13 years, the sum of the ages of Jose and Pearl will be 83.
How old is Pearl right now?
Solution
Jose + 3 = 38
Jose = 38 - 3 = 35
(Jose + 13) + (Pearl + 13) = 83
(35 + 13) + (Pearl + 13) = 83
Pearl + 61 = 83
Pearl = 83 - 61 = 22
29 years from now Cindy will be 57 years old.
In 13 years, the sum of the ages of Cindy and Miguel will be 126.
How old is Miguel right now?
Solution
Cindy + 9 = 57
Cindy = 57 - 9 = 48
(Cindy + 13) + (Miguel + 13) = 126
(48 + 13) + (Miguel + 13) = 126
Miguel + 74 = 126
Miguel = 126 - 74 = 52

### Complexity=5, Mode=Type D

Solve the following age problems.

18 years from now Cindy will be twice as old as Paul.
The current sum of the ages of Cindy and Paul is 77.
How old is Paul right now?
Solution
Cindy + 8 = 2 × (Paul + 8)
Cindy + Paul = 77
Cindy = 77 - Paul
77 - Paul + 8 = 2 × (Paul + 8)
85 - Paul = 2 × Paul + 16
85 = 3 × Paul + 16
3 × Paul = 85 - 16 = 69
Paul = 23
214 years from now Miguel will be twice as old as Mary.
The current sum of the ages of Miguel and Mary is 50.
How old is Mary right now?
Solution
Miguel + 14 = 2 × (Mary + 14)
Miguel + Mary = 50
Miguel = 50 - Mary
50 - Mary + 14 = 2 × (Mary + 14)
64 - Mary = 2 × Mary + 28
64 = 3 × Mary + 28
3 × Mary = 64 - 28 = 36
Mary = 12

### Complexity=5

Solve the following age problems.

13 years from now Mary will be 52 years old.
In 15 years, the sum of the ages of Mary and Cindy will be 95.
How old is Cindy right now?
Solution
Mary + 3 = 52
Mary = 52 - 3 = 49
(Mary + 15) + (Cindy + 15) = 95
(49 + 15) + (Cindy + 15) = 95
Cindy + 79 = 95
Cindy = 95 - 79 = 16
25 years from now Sharon will be twice as old as Tiffany.
The current sum of the ages of Sharon and Tiffany is 86.
How old is Tiffany right now?
Solution
Sharon + 5 = 2 × (Tiffany + 5)
Sharon + Tiffany = 86
Sharon = 86 - Tiffany
86 - Tiffany + 5 = 2 × (Tiffany + 5)
91 - Tiffany = 2 × Tiffany + 10
91 = 3 × Tiffany + 10
3 × Tiffany = 91 - 10 = 81
Tiffany = 27