Question : Directions: The sum of the present age of the father and his son is 60 years. Six years ago, the father's age was five times the age of the son. After 6 years, what will be the son's age?
Option 1: 45
Option 2: 25
Option 3: 20
Option 4: 33
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Correct Answer: 20
Solution : Let the father's present age be A, and his son's present age be B.
As per the given information,
The sum of the father's present age and his son's present age is 60 years ⇒ A + B = 60
6 years ago, the father's age = (A – 6), and his son's age = (B – 6)
Also, 6 years ago, the father's age was five times his son's age, i.e., (A – 6) = 5 × (B – 6)
⇒ A – 6 = 5B – 30
⇒ A = 5B – 30 + 6
⇒ A = 5B – 24
So, substitute the value of A in equation A + B = 60, thus, the equation becomes –
⇒ 5B – 24 + B = 60
⇒ 6B = 60 + 24 = 84
⇒ B = 84 ÷ 6 = 14
Therefore, the Son's present age is 14 years, and after 6 years is 20 years. Hence, the third option is correct.
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