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Maths olympiad question · P1–P2★ Easy

Age problems: olympiad question 2

An easy question on age problems for P1–P2, with a step-by-step solution, diagrams and the answer. Age problems are common in the Hua Xia Cup's P1 to P4 first and qualifying rounds, and rarer in the P5 and P6 papers.

The question

This year the ages of Dad and Ming add up to 38.

What will their two ages add up to in 10 years?

Show the hints (2)
  1. Hint 1: In 10 years, how much older is each of them?
  2. Hint 2: There are 2 people. How much does the total go up?

Worked solution

Have a go first, then read the solution step by step.

  1. 1.In 10 years each is 10 older; 2 people add 2 × 10 = 20.
  2. 2.The total is 38 + 20 = 58.
  3. ⚠️Common mistake: adding just 10 and answering 48. Every one of them gets 10 years older.

Answer: 58 years

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