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Answer :
- Present age of son is 7.5 years
- Present age of father is 52.5 years
Given :-
- A fether is 45 years elder than his son.
- In 15 years, the father will be three times as old as his son.
To Find :-
- Their present age ?
Solution :-
- Let present age of son be y years.
- As it is stated question that a father is 45 years elder than his son. So, present age of father will be (y + 45) years.
★ Their ages after 15 years :
- Age of son = (y + 15) years
- Age of father = y + 45 + 15 = (y + 60) years.
★ According to the Question :
- In 15 years, the father will be three times as old as his son.
Therefore,
➻ Age of father = 3(Age of son)
➻ y + 60 = 3(y + 15)
➻ y + 60 = 3y + 45
➻ y - 3y = 45 - 60
➻ -2y = -15
➻ 2y = 15
➻ y = 15/2
➻ y = 7.5 years
- Hence, present age of son 7.5 years.
Now we know that,
➻ Present age of father = (y + 45) years
• Putting y = 7.5 we get,
➻ Present age of father = (7.5 + 45) years
➻ Present age of father = 52.5 years
- Hence, present age of father is 52.5 years.
Verification :-
- We know that according to the question, in 15 years, the father will be three times as old as his s,,on.
Therefore,
➻ Age of father = 3(Age of son)
➻ y + 60 = 3(y + 15)
• Putting y = 7.5 we get,
➻ 7.5 + 60 = 3(7.5 + 15)
➻ 67.5 = 3(22.5)
➻ 67.5 = 3 × 22.5
➻ 67.5 = 67.5
➻ LHS = RHS
- Hence, verified.
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