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If x is the age of the son, then 5x would be the age of the father. In 6 years, the son would be x + 6 years old, where the father would be 3(x + 6) years old. Since the original age of the father is 5x, then in 6 years the father could also be said to be 5x + 6 years old. Setting these two expressions for the father's age as an equation, we then can solve for x, the son's age.

3(x + 6) = 5x +6

3x + 18 = 5x + 6

2x = 12

x = 6

The original age of the son is 6 and of the father (5x) is 30 years old. In 6 years, the son would be 12 and the father would be [3x + 18 or 5x + 6] 36 years old.

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Q: 2 you are currently 5 times as old as your son In 6 years time you will be three times as old as he will be then What are your ages?
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