Math Practice Problems - Age Problems

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. Mary is 44 years old.
The sum of the ages of Mary and John is 52.
How old is John?

2. Sharon is 37 years old.
The sum of the ages of Sharon and Maria is 92.
How old is Maria?

Complexity=5, Mode=Type B

Solve the following age problems.

1. 8 years from now Peter will be 26 years old.
The current sum of the ages of Peter and Paul is 53.
How old is Paul right now?

2. 7 years from now Mike will be 14 years old.
The current sum of the ages of Mike and Pearl is 51.
How old is Pearl right now?

Complexity=5, Mode=Type C

Solve the following age problems.

1. 6 years from now John will be 15 years old.
In 9 years, the sum of the ages of John and Pearl will be 38.
How old is Pearl right now?

2. 5 years from now Miguel will be 17 years old.
In 13 years, the sum of the ages of Miguel and Pearl will be 64.
How old is Pearl right now?

Complexity=5, Mode=Type D

Solve the following age problems.

1. 15 years from now Peter will be twice as old as Miguel.
The current sum of the ages of Peter and Miguel is 18.
How old is Miguel right now?

2. 12 years from now Tiffany will be twice as old as Maria.
The current sum of the ages of Tiffany and Maria is 57.
How old is Maria right now?

Complexity=5

Solve the following age problems.

1. 9 years from now Sharon will be 18 years old.
In 6 years, the sum of the ages of Sharon and Paul will be 71.
How old is Paul right now?

2. 6 years from now Peter will be 43 years old.
In 13 years, the sum of the ages of Peter and Steven will be 87.
How old is Steven right now?

Answers

Complexity=5, Mode=Type A

Solve the following age problems.

#	Problem	Correct Answer	Your Answer
1	Mary is 44 years old. The sum of the ages of Mary and John is 52. How old is John?
Solution Mary = 44 Mary + John = 52 44 + John = 52 John = 52 - 44 = 8

#	Problem	Correct Answer	Your Answer
2	Sharon is 37 years old. The sum of the ages of Sharon and Maria is 92. How old is Maria?
Solution Sharon = 37 Sharon + Maria = 92 37 + Maria = 92 Maria = 92 - 37 = 55

Complexity=5, Mode=Type B

Solve the following age problems.

#	Problem	Correct Answer	Your Answer
1	8 years from now Peter will be 26 years old. The current sum of the ages of Peter and Paul is 53. How old is Paul right now?
Solution Peter + 8 = 26 Peter = 26 - 8 = 18 Peter + Paul = 53 18 + Paul = 53 Paul = 53 - 18 = 35

#	Problem	Correct Answer	Your Answer
2	7 years from now Mike will be 14 years old. The current sum of the ages of Mike and Pearl is 51. How old is Pearl right now?
Solution Mike + 7 = 14 Mike = 14 - 7 = 7 Mike + Pearl = 51 7 + Pearl = 51 Pearl = 51 - 7 = 44

Complexity=5, Mode=Type C

Solve the following age problems.

#	Problem	Correct Answer	Your Answer
1	6 years from now John will be 15 years old. In 9 years, the sum of the ages of John and Pearl will be 38. How old is Pearl right now?
Solution John + 6 = 15 John = 15 - 6 = 9 (John + 9) + (Pearl + 9) = 38 (9 + 9) + (Pearl + 9) = 38 Pearl + 27 = 38 Pearl = 38 - 27 = 11

#	Problem	Correct Answer	Your Answer
2	5 years from now Miguel will be 17 years old. In 13 years, the sum of the ages of Miguel and Pearl will be 64. How old is Pearl right now?
Solution Miguel + 5 = 17 Miguel = 17 - 5 = 12 (Miguel + 13) + (Pearl + 13) = 64 (12 + 13) + (Pearl + 13) = 64 Pearl + 38 = 64 Pearl = 64 - 38 = 26

Complexity=5, Mode=Type D

Solve the following age problems.

#	Problem	Correct Answer	Your Answer
1	15 years from now Peter will be twice as old as Miguel. The current sum of the ages of Peter and Miguel is 18. How old is Miguel right now?
Solution Peter + 15 = 2 × (Miguel + 15) Peter + Miguel = 18 Peter = 18 - Miguel 18 - Miguel + 15 = 2 × (Miguel + 15) 33 - Miguel = 2 × Miguel + 30 33 = 3 × Miguel + 30 3 × Miguel = 33 - 30 = 3 Miguel = 1

#	Problem	Correct Answer	Your Answer
2	12 years from now Tiffany will be twice as old as Maria. The current sum of the ages of Tiffany and Maria is 57. How old is Maria right now?
Solution Tiffany + 12 = 2 × (Maria + 12) Tiffany + Maria = 57 Tiffany = 57 - Maria 57 - Maria + 12 = 2 × (Maria + 12) 69 - Maria = 2 × Maria + 24 69 = 3 × Maria + 24 3 × Maria = 69 - 24 = 45 Maria = 15

Complexity=5

Solve the following age problems.

#	Problem	Correct Answer	Your Answer
1	9 years from now Sharon will be 18 years old. In 6 years, the sum of the ages of Sharon and Paul will be 71. How old is Paul right now?
Solution Sharon + 9 = 18 Sharon = 18 - 9 = 9 (Sharon + 6) + (Paul + 6) = 71 (9 + 6) + (Paul + 6) = 71 Paul + 21 = 71 Paul = 71 - 21 = 50

#	Problem	Correct Answer	Your Answer
2	6 years from now Peter will be 43 years old. In 13 years, the sum of the ages of Peter and Steven will be 87. How old is Steven right now?
Solution Peter + 6 = 43 Peter = 43 - 6 = 37 (Peter + 13) + (Steven + 13) = 87 (37 + 13) + (Steven + 13) = 87 Steven + 63 = 87 Steven = 87 - 63 = 24

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