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2019 AMC 10AProblem 3P1-10~2 minPrint
Linear Equations & Word ProblemsQuadraticsApply an identity: SFFT, sum of squares, difference of cubes, VietaTest small/specific values or special cases to find or verify the answer

Ana and Bonita are born on the same date in different years, nn years apart. Last year Ana was 55 times as old as Bonita. This year Ana's age is the square of Bonita's age. What is n?n?

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Problem © Mathematical Association of America (MAA), American Mathematics Competitions. Reproduced for non-commercial educational use. Solution and commentary are original to this site.