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Age Word Problems
Age problems set up relationships between people's ages at different points in time — "Maria is twice as old as her son, and in 12 years she will be 1.5 times his age." They feel tricky because time shifts everything: everyone gets older by the same number of years, but the ratios between ages change. The key is picking variables carefully (usually let one person's current age be x) and writing separate equations for "now" and "then." These problems are a favorite on entrance exams and standardized tests because they test whether you can translate layered English relationships into clean algebra without getting tangled up.
Father & Daughter Age Problem
Father is 10× daughter's age. In 5 years, he'll be 5× her age. Find current ages using systems of equations.
Complex Age Problem: Mary and Ana
Solve this tricky age problem involving two time periods. Master relative age algebra with our step-by-step solution.
Age Problem: Sisters' Current Age from Product
Lisa is 1 year older than Ella. Product of their ages one year ago was 20. Find current ages.