BitWithBite
Mathematics Worksheet
🎂 Age Problems
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After this worksheet you can
Translate age relationships into equations.Solve using sums and ratios.Handle past and future ages.Solve two-person age problems.📚 Quick Recap
Age problems use the fact that everyone's age increases by the same amount each year, letting us set up simple equations to find unknown ages.
🧠 Section A · Concept Check ● BEGINNER 4 × 1 = 4
1A is 4 times as old as B; their ages sum to 40. Their ages are:
2A man and his son sum to 60; the man is 4 times as old. Son and man are:
3Ages in the ratio 3:4 with a sum of 42 are:
4A person's age 8 years ago was 22. Their present age is:
🧮 Section B · Problem Solving ● INTERMEDIATE 2 + 3×3 = 11
5If B's age is x and A is 4 times as old, A = .
6A is 4 times B and they sum to 40, so B = .
7A is 4 times as old as B. Their ages sum to 40. Find both ages.
8A man and son sum to 60; the man is 4 times as old. Find both.
9Ages are in the ratio 3:4 and the sum is 42. Find both ages.
🚀 Section C · Challenge ● CHALLENGE 5
10A person's age 8 years ago was 22. Find the current age.
💭 Reflection — the most useful thing I learned:
A ___/4 B ___/11 C ___/5 Total ___/20
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✂ answer key — fold or cut before handing out
1-A 2-A 3-A 4-A | 5 4x 6 8 7 = A = 32, B = 8 8 = Son = 12, Man = 48 9 = 18 and 24 | 10 = 30