Question
Jane is 12 years older than Tom. In 4 years, their ages will sum up to 50. How old are they now?
Jane is 12 years older than Tom. In 4 years, their ages will sum up to 50. How old are they now?
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Koala Tutor
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Got a question with my answer?
Let's assume Tom's age is x.
Therefore, Jane's age is x + 12.
In 4 years, Tom's age will be x + 4, and Jane's age will be x + 12 + 4 = x + 16.
The sum of their ages in 4 years is x + x + 16 = 50.
Combining like terms, we get 2x + 16 = 50.
Subtracting 16 from both sides of the equation, we get 2x = 50 - 16 = 34.
Dividing both sides of the equation by 2, we get x = 34 / 2 = 17.
Tom's age is x = 17, and Jane's age is x + 12 = 17 + 12 = <<17+12=29>>29. Answer: \boxed{17, 29}.
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