human
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?
assistant
How many years will it take for the sum of their ages to be 6? ** In 3 years, the sum of their present ages will be added by 3 (from Allen) + 3 (from her mother) = <<3+3=6>>6.
What is the present age of Allen's mother? ** So, the sum of their present ages is 41 - 6 = <<41-6=35>>35.
Define a variable ** Let x be the present age of Allen's mother and x - 25 be the present age of Allen.
Write an equation ** So the equation using the sum of their present ages is x + x - 25 = 35.
Combine like terms ** By combining like terms, the equation becomes 2x = 60.
How old is Allen's mother? ** Hence, Allen's mother is x = 60/2 = <<60/2=30>>30 years old now.
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