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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. What is father's present age?
- a)30 years
- b)31 years
- c)32 yeas
- d)33 years
- e)34 years
Correct answer is option 'D'. Can you explain this answer?
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Verified Answer
Present age of a father is 3 years more than three times the age of hi...
Let the present age the son = x
Then, present age of the father = 3 x + 3
Given that, three years hence, father's age will be 10 years more than twice the age of the son
⇒ ( 3 x + 3 + 3 ) = 2 ( x + 3 ) + 10
⇒ x = 10
Father's present age
= 3 x + 3 = 3 × 10 + 3 = 33
Most Upvoted Answer
Present age of a father is 3 years more than three times the age of hi...
Let's assume the present age of the son is x years.
According to the problem statement, the present age of the father is 3 years more than three times the age of his son. So, the present age of the father can be represented as 3x + 3.
Three years hence means we need to add 3 to the present ages. So, the age of the son three years from now will be x + 3, and the age of the father three years from now will be (3x + 3) + 3 = 3x + 6.
According to the problem, the father's age three years hence will be 10 years more than twice the age of the son. Mathematically, this can be represented as:
3x + 6 = 2(x + 3) + 10
Simplifying the equation:
3x + 6 = 2x + 6 + 10
3x + 6 = 2x + 16
3x - 2x = 16 - 6
x = 10
Therefore, the present age of the son is 10 years.
To find the father's present age, we can substitute the value of x in the equation for the father's age:
Father's age = 3x + 3
Father's age = 3(10) + 3
Father's age = 30 + 3
Father's age = 33 years
Hence, the father's present age is 33 years. Therefore, the correct answer is option D.
According to the problem statement, the present age of the father is 3 years more than three times the age of his son. So, the present age of the father can be represented as 3x + 3.
Three years hence means we need to add 3 to the present ages. So, the age of the son three years from now will be x + 3, and the age of the father three years from now will be (3x + 3) + 3 = 3x + 6.
According to the problem, the father's age three years hence will be 10 years more than twice the age of the son. Mathematically, this can be represented as:
3x + 6 = 2(x + 3) + 10
Simplifying the equation:
3x + 6 = 2x + 6 + 10
3x + 6 = 2x + 16
3x - 2x = 16 - 6
x = 10
Therefore, the present age of the son is 10 years.
To find the father's present age, we can substitute the value of x in the equation for the father's age:
Father's age = 3x + 3
Father's age = 3(10) + 3
Father's age = 30 + 3
Father's age = 33 years
Hence, the father's present age is 33 years. Therefore, the correct answer is option D.
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