Math Practice Problems - Age Problems

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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 B

Solve the following age problems.

Complexity=5, Mode=Type C

Solve the following age problems.

Complexity=5, Mode=Type D

Solve the following age problems.

Complexity=5

Solve the following age problems.

Answers

Complexity=5, Mode=Type A

Solve the following age problems.

#	Problem	Correct Answer	Your Answer
1	Maria 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

#	Problem	Correct Answer	Your Answer
2	Mary 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.

#	Problem	Correct Answer	Your Answer
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?
Solution Maria + 5 = 34 Maria = 34 - 5 = 29 Maria + Mary = 69 29 + Mary = 69 Mary = 69 - 29 = 40

#	Problem	Correct Answer	Your Answer
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?
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.

#	Problem	Correct Answer	Your Answer
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?
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

#	Problem	Correct Answer	Your Answer
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?
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.

#	Problem	Correct Answer	Your Answer
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?
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

#	Problem	Correct Answer	Your Answer
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?
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.

#	Problem	Correct Answer	Your Answer
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?
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

#	Problem	Correct Answer	Your Answer
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?
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

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