Present age of a father is 3 years more than three times the age of his son.Three years hence, father's age will be 10 years more than twice the age of the son.Find the present age of father.30 years33 years36 years39 yearsClear ResponseSave & Next
Question
Present age of a father is 3 years more than three times the age of his son.Three years hence, father's age will be 10 years more than twice the age of the son.Find the present age of father.30 years33 years36 years39 yearsClear ResponseSave & Next
Solution
Let's denote the present age of the son as 'x' years.
According to the problem, the present age of the father is 3 years more than three times the age of his son. So, we can write this as:
Father's present age = 3x + 3
The problem also states that three years hence, the father's age will be 10 years more than twice the age of the son. This can be written as:
Father's age in 3 years = 2*(son's age in 3 years) + 10
Substituting the given values, we get:
(3x + 3 + 3) = 2*(x + 3) + 10
Solving this equation, we get:
3x + 6 = 2x + 6 + 10
Simplifying, we get:
x = 7
Substituting x = 7 in the equation for the father's present age, we get:
Father's present age = 3*7 + 3 = 24 years
However, this is not one of the options given. There seems to be a mistake in the problem or the options provided.
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