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Age puzzles – practice for Years 4–9

Sample questions on Age puzzles with the right answer and a worked solution, from easy to hard. In the Pickles Academy app a child gets new questions of the same kind every time, so they can't just learn the answers by heart.

Subject
Logic
Year
Years 4–9
Curriculum area
Reasoning word problems

Question types: How old are they?

Rule: Age puzzles

Every year everyone gets a year older, so the difference between two people’s ages never changes.

In k years everyone is k years older: the total age of three people goes up by 3 × k.

Example: Peter is 8 and Jane is 3 years older: she is 11, and in 5 years she will be 16.

Watch out: The difference stays the same, but “how many times older” changes: 30 and 10 is 3 times, ten years later 40 and 20 only 2 times.

Sample questions

  1. Question 1 Easy

    Peter is 6. His sister Jane is 4 years older. How old will Jane be in 5 years?

    Show the solution
    Answer: 15

    How it works: 6 + 4 + 5 = 15

  2. Question 2 Normal

    A mother is 48 and her son is 21. In how many years will the mother be twice as old as her son?

    Show the solution
    Answer: 6

    How it works: 48 + x = 2 · (21 + x) → x = 6

  3. Question 3 Hard

    A father is 29 years older than his son. In 8 years their ages will add up to 59. How old is the son now?

    Show the solution
    Answer: 7

    How it works: (59 − 2 · 8 − 29) : 2 = 7

Related topics

All Logic topics

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