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AMO 2027 Grades 8-9 SET 16 - Self-study Question 14

AMO · AMO 2027 Grades 8-9 SET 16 - Self-study

Question 14

Example 8. 5 years ago, Tina was $2p$ years old. Next year, Tina’s brother, Jack, will be 7 years older than Tina. Find their total age in 10 years’ time.

**Editorial input convention:** Compare both ages at the same time; “in 10 years” means ten years from now. Enter the expanded expression in p as ap+b, with the coefficient immediately before p and no spaces. Format example, not the answer: 2p+1.