Question
A father is currently 4 times as old as his son. In 10 years, the father's age will be 3 times the son's age. How old are the father and son now?
A father is currently 4 times as old as his son. In 10 years, the father's age will be 3 times the son's age. How old are the father and son now?
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Koala Tutor
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Got a question with my answer?
Let x be the son's age now.
The father's age now is 4x.
In ten years, the son's age will be x + 10, and the father's age will be 4x + 10.
In ten years, the father's age will be 3 times the son's age:
4x + 10 = 3(x + 10)
4x + 10 = 3x + 30
4x - 3x = 30 - 10
x = <<6=6>>6
The son is 6 years old now.
The father is 4 * 6 = <<4*6=24>>24 years old now. Answer: \boxed{24}.
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