Allen is 25 years younger than his mother. In 3 years, the sum of their ages will be 41. What is the present age of Allen's mother?
Thoughts? Step-by-step reasoning:
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In 3 years, the sum of their present ages will be added by 3 (from Allen) + 3 (from her mother) = 6. So, the sum of their present ages is 41 - 6 = 35. Let x be the present age of Allen's mother and x - 25 be the present age of Allen. So the equation using the sum of their present ages is x + x - 25 = 35. By combining like terms, the equation becomes 2x = 60. Hence, Allen's mother is x = 60 / 2 = 30 years old now.
Thus, the answer is 30.
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