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If the younger is x years old, then the older is 3x years old now.
Three years ago, the younger was x-3 years old, while the older was 3x-3 years old.
From the condition
3x - 3 = 4*(x-3).
Simplify and solve
3x - 3 = 4x - 12
12 - 3 = 4x - 3x
9 = x
ANSWER. Atsu is 9 years old; Adjapong is 9*3 = 27 years old.
Solved.
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There is a bunch of lessons on age word problems in this site:
- Age problems and their solutions
- A fresh formulation of a traditional age problem
- Really intricate age word problems
- Selected age word problems from the archive
- Age problems for mental solution
- One unusual age word problem
- Miscellaneous age problems
Read them attentively and become an expert in this field.