A father is three times as old as his son. after 15 years, he will be twice as old as his son. what are their present ages.
Answers
Answer:
Their parents age is 45 three times as old as his son.
Answer:
- Son's present age = 15 years
- Father's present age = 45 years
Step-by-step explanation:
- Present age :-
=> Let the son's present age be = x years.
Father is three times as old as his son. Therefore,
=> Father's present age = 3x years.
- After 15 years :-
=> Son's age = (x + 15) years
Father becomes twice as old as his son.
=> Father's age = 2(x + 15) years
-- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- --
Difference between the ages of father and son always remains same.
That is,
Father's present age - Son's present age =
Fathers age after 15 years - Son's age after 15 years
=> (3x - x) = (2[x + 15] - [x + 15])
=> 2x = (2x + 30 - x - 15)
=> 2x = x + 15
=> 2x - x = 15
=> x = 15
Therefore, the son's present age = 15 years.
Father's present age = 3x = 3 × 15
= 45 years