the sum of ages of a father and son is 55 years. After 16 years will be twice as old as his son. Find their present ages.
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Answer :
- Present Age of Son = 13 years.
- Present Age of Father = 42 years.
Explanation :
Given :
- The sum of ages of a father and son is 55 years.
- After 16 years, he will be twice as old as his son.
To Find :
- Their Present ages.
Solution :
Let,
- Present age of son be x.
So,
- Age of Father = 55 - x.
After 16 years,
- Age of Son = x + 16.
- Age of Father = 2(x).
★ According to the Question,
⇒ 2(x) + x + 16 = 55.
⇒ 2x + x + 16 = 55.
⇒ 3x = 55 - 16.
⇒ 3x = 39.
⇒ x = 39 ÷ 3.
⇒ x = 13.
Therefore,
- Present Age of Son = x = 13 years.
- Present Age of Father = 55 - x = 42 years.
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