Maths Olympiad Prep

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, 2001

Algebra Difficulty 3.0 AMC 10/12 Prove it Canada

At present, the sum of the ages of a husband and wife, PP, is six times the sum of the ages of their children, CC. Two years ago, the sum of the ages of the husband and wife was ten times the sum of the ages of the same children. Six years from now, it will be three times the sum of the ages of the same children. Determine the number of children.

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Source: CEMC, University of Waterloo, licensed CC-BY-NC-4.0. Statement reproduced verbatim; metadata (topic, difficulty) added by this project. Solutions are the publisher's, linked not copied.