A father tells his son,"I was of your present age when you were born." If the…
2017
A father tells his son,"I was of your present age when you were born." If the father is now 36 years of age, how old was the boy 5 years ago?
- A.
13
- B.
15
- C.
17
- D.
None of these
Attempted by 19 students.
Show answer & explanation
Correct answer: A
To find the age of the boy 5 years ago, we can use algebraic expressions to represent the relationship between the father's and the son's ages.
Step-by-Step Analysis
Define Variables:
Let the son's current age be x.
When the son was born, the son's age was 0.
At that time, the father was x years old (based on the statement "I was of your present age when you were born").
Formulate the Father's Current Age:
Since the father was x years old when the son was born, the father is currently x + x = 2x years old.
We are given that the father is currently 36 years old.
So, 2x = 36.
Solve for x (Son's current age):
x = 36 / 2 = 18 years old.
Calculate the Son's age 5 years ago:
Son's age 5 years ago = 18 - 5 = 13.